
Courses
Courses
Choosing a course is one of the most important decisions you'll ever make! View our courses and see what our students and lecturers have to say about the courses you are interested in at the links below.

University Life
University Life
Each year more than 4,000 choose NUI Galway as their University of choice. Find out what life at NUI Galway is all about here.

About NUI Galway
About NUI Galway
Since 1845, NUI Galway has been sharing the highest quality teaching and research with Ireland and the world. Find out what makes our University so special – from our distinguished history to the latest news and campus developments.

Colleges & Schools
Colleges & Schools
NUI Galway has earned international recognition as a researchled university with a commitment to top quality teaching across a range of key areas of expertise.

Research & Innovation
Research & Innovation
NUI Galway’s vibrant research community take on some of the most pressing challenges of our times.

Business & Industry
Guiding Breakthrough Research at NUI Galway
We explore and facilitate commercial opportunities for the research community at NUI Galway, as well as facilitating industry partnership.

Alumni, Friends & Supporters
Alumni, Friends & Supporters
There are over 90,000 NUI Galway graduates Worldwide, connect with us and tap into the online community.

Community Engagement
Community Engagement
At NUI Galway, we believe that the best learning takes place when you apply what you learn in a real world context. That's why many of our courses include work placements or community projects.
Mathematics, Statistics & Applied Mathematics
Dr Aisling McCluskey
BSc, DPhil
Biography
Peer Reviewed Journals
Year  Publication  

(2015)  'On faint continuity'
Mccluskey, AE,Reilly, IL (2015) 'On faint continuity'. Applied General Topology, 16 :4552 [DOI] [Details] 

(2017)  'Betweenness Relations in a Categorical Setting'
Bruno, J,McCluskey, A,Szeptycki, P (2017) 'Betweenness Relations in a Categorical Setting'. Results In Mathematics, 72 :649664 [DOI] [Details] 

(1999)  'Representing quasiorders by embeddability ordering of families of topological spaces'
McCluskey, A and McMaster, T (1999) 'Representing quasiorders by embeddability ordering of families of topological spaces'. Proceedings of the American Mathematical Society, 127 (5):12751279 [Details] 

(2012)  'Topologies on< i> X as points within 2P (X)'
Bruno, Jorge L and McCluskey, Aisling E (2012) 'Topologies on< i> X as points within 2P (X)'. Topology and its Applications, 159 (13):30273032 [Details] 

(2012)  '$ Top (X) $ within $$\backslash$ px $]$$When lattices meet topology: $ Top (X) $ within $$\backslash$ px $.$\$'
Bruno, Jorge L and McCluskey, Aisling E (2012) '$ Top (X) $ within $$\backslash$ px $]$$When lattices meet topology: $ Top (X) $ within $$\backslash$ px $.$\$'. arXiv preprint arXiv:1202.6180, [Details] 

(2008)  'Ordered separation axioms and the Wallman ordered compactification'
K\"unzi, HANSPETER A and McCluskey, AISLING E and Richmond, Thomas A (2008) 'Ordered separation axioms and the Wallman ordered compactification'. Publ. Math. Debrecen, 73 :361377 [Details] 

(2007)  'The Propositional Theory of Closure'
McCluskey, Aisling E and McIntyre, David W and Watson, WS (2007) 'The Propositional Theory of Closure'. Experimental Mathematics, 16 (4):501512 [Details] 

(2012)  'Topologies as points within a Stone space: Lattice theory meets topology'
Bruno, Jorge L and McCluskey, Aisling E (2012) 'Topologies as points within a Stone space: Lattice theory meets topology'. Topology and its Applications, [Details] 

(2011)  'Topologies on $ X $ as points in $2\^$$$\backslash$ mathcal $$P$\$(X)$\$ $'
Bruno, Jorge L and McCluskey, Aisling E (2011) 'Topologies on $ X $ as points in $2\^$$$\backslash$ mathcal $$P$\$(X)$\$ $'. arXiv preprint arXiv:1111.3212, [Details] 

(2009)  'P (R), ordered by homeomorphic embeddability, does not represent all posets of cardinality c2'
Knight, Robin W and McCluskey, Aisling E (2009) 'P (R), ordered by homeomorphic embeddability, does not represent all posets of cardinality c2'. Topology and its Applications, 156 (11):19431945 [Details] 

(1996)  'A minimal sober topology is always Scott'
McCluskey, AE and McCartan, SD (1996) 'A minimal sober topology is always Scott'. Annals of the New York Academy of Sciences, 806 (1):293303 [Details] 

(1993)  'Minimality with respect to'
McCluskey, AE and McCartan, SD (1993) 'Minimality with respect to'. Young's axiom, [Details] 

(1995)  'Minimality with respect to Youngâ€™s axiom'
McCluskey, AE and McCartan, SD (1995) 'Minimality with respect to Youngâ€™s axiom'. Houston Journal of Mathematics, 21 (2):41328 [Details] 

(1999)  'Representing setinclusion by embeddability (among the subspaces of the real line)'
McCluskey, AE and McMaster, TBM and Watson, WS (1999) 'Representing setinclusion by embeddability (among the subspaces of the real line)'. Topology and its Applications, 96 (1):8992 [Details] 

(1998)  'Realizing quasiordered sets by subspaces of â€˜continuumlikeâ€™spaces'
McCluskey, AE and McMaster, TBM (1998) 'Realizing quasiordered sets by subspaces of â€˜continuumlikeâ€™spaces'. Order, 15 (2):143149 [Details] 

(1992)  'The minimal structures for TA'
McCluskey, AE and McCartan, SD (1992) 'The minimal structures for TA'. Annals of the New York Academy of Sciences, 659 (1):138155 [Details] 

(2003)  'An elementary counterexample on dense normality'
McCluskey, AE and McMaster, TBM (2003) 'An elementary counterexample on dense normality'. Topology and its Applications, 130 (1):8790 [Details] 

(1995)  'BOLYAI SOCIETY Topology with Applications, MATHEMATICAL STUDIES, 4 Szekszard (Hungary), 1993, pp. 8397'
MCCLUSKEY, AE and MCCARTAN, SD (1995) 'BOLYAI SOCIETY Topology with Applications, MATHEMATICAL STUDIES, 4 Szekszard (Hungary), 1993, pp. 8397'. Topology with Applications, 4 [Details] 

(2002)  'Minimal TUD spaces'
McCluskey, AE and Watson, WS (2002) 'Minimal TUD spaces'. Applied general topology, 3 (1):5564 [Details] 

(2016)  'Continuous functions on Hausdorff continua'
Greenwood, S,McCluskey, A (2016) 'Continuous functions on Hausdorff continua'. Topology And Its Applications, 212 :142165 [DOI] [Details] 

(2014)  'A year of engaging with the discipline of noticing: five mathematics lecturers' reflections'
Breen, S,McCluskey, A,Meehan, M,O'Donovan, J,O'Shea, A (2014) 'A year of engaging with the discipline of noticing: five mathematics lecturers' reflections'. Teaching in Higher Education, 19 :289300 [DOI] [Details] 

(1995)  'MINIMALITY WITH RESPECT TO YOUNGS AXIOM'
MCCLUSKEY, AE,MCCARTAN, SD (1995) 'MINIMALITY WITH RESPECT TO YOUNGS AXIOM'. Houston Journal Of Mathematics, 21 :413428 [Details] 

(2013)  'On almost zsupercontinuity'
Bayhan, S,Kanibir, A,McCluskey, A,Reilly, IL (2013) 'On almost zsupercontinuity'. Filomat, 27 :965969 [DOI] [Details] 

(2013)  'Topologies as points within a Stone space: lattice theory meets topology'
Bruno, Jorge L. and McCluskey, Aisling E. (2013) 'Topologies as points within a Stone space: lattice theory meets topology'. Topology Appl, 160 (2):273279 [DOI] [Details] 

(2012)  'Topologies on $X$ as points within $2^\scrP(X)$'
Bruno, Jorge L. and McCluskey, Aisling E. (2012) 'Topologies on $X$ as points within $2^\scrP(X)$'. Topology Appl, 159 (13):30273032 [DOI] [Details] 

(2010)  'Mathematics in Society  a power for change'
McCluskey, A.E. (2010) 'Mathematics in Society  a power for change'. Bulletin Of The Irish Mathematics Society, [Details] 

(2009)  'P(R), ordered by homeomorphic embeddability, does not represent all posets of cardinality 2(c)'
Knight, R. W.,McCluskey, A. E. (2009) 'P(R), ordered by homeomorphic embeddability, does not represent all posets of cardinality 2(c)'. Topology and Its Applications, 156 (1111):19431945 [Details] 

(2009)  '$\scr P(\Bbb R)$'
Knight, Robin W. and McCluskey, Aisling E. (2009) '$\scr P(\Bbb R)$'. Topology Appl, 156 (11):19431945 [DOI] [Details] 

(2008)  'Ordered separation axioms and the Wallman ordered compactification'
K\"unzi, HansPeter A. and McCluskey, Aisling E. and Richmond, Thomas A. (2008) 'Ordered separation axioms and the Wallman ordered compactification'. Publ. Math. Debrecen, 73 (34):361377 [Details] 

(2007)  'The propositional theory of closure'
McCluskey, A. E. and McIntyre, D. W. and Watson, W. S. (2007) 'The propositional theory of closure'. Experiment. Math, 16 (4):501512 [Details] 

(2003)  'An elementary counterexample on dense normality'
McCluskey, AE,McMaster, TBM (2003) 'An elementary counterexample on dense normality'. Topology And Its Applications, 130 :8790 [DOI] [Details] 

(2002)  'Minimal $T_UD$ spaces'
McCluskey, A. E. and Watson, W. S. (2002) 'Minimal $T_UD$ spaces'. Appl. Gen. Topol, 3 (1):5564 [Details] 

(2000)  'Antichains in the powerset of R: realisation through induction'
McCluskey, A.E., McMaster, T.B.M. (2000) 'Antichains in the powerset of R: realisation through induction'. Math. Proc. R. Ir. Acad, 100A (2):183188 [Details] 

(1999)  'Representing setinclusion by embeddability (among the subspaces of the real line)'
McCluskey, AE,McMaster, TBM,Watson, WS (1999) 'Representing setinclusion by embeddability (among the subspaces of the real line)'. Topology And Its Applications, 96 :8992 [Details] 

(1999)  'Representing quasiorders by embeddability ordering of families of topological spaces'
McCluskey, A. E. and McMaster, T. B. M. (1999) 'Representing quasiorders by embeddability ordering of families of topological spaces'. Proc. Amer. Math. Soc, 127 (5):12751279 [DOI] [Details] 

(1999)  'Realising quasiordered sets by subspaces of 'continuumlike' spaces'
McCluskey, A.E., McMaster, T.B.M. (1999) 'Realising quasiordered sets by subspaces of 'continuumlike' spaces'. Order, 15 (2):143149 [Details] 

(1999)  'Transfinite induction and the real line'
McCluskey, A. E. and McMaster, T. B. M. (1999) 'Transfinite induction and the real line'. Irish Math. Soc. Bull, (42):3244 [Details] 

(1996)  'T_0 and loosely nested are not complementary'
McCartan, S.D., McCluskey, A.E. (1996) 'T_0 and loosely nested are not complementary'. Proceedings Of The 8th Prague Topological Symposium, :288290 [Details] 

(1995)  'Minimal structures for T_FA'
McCartan, S.D., McCluskey, A.E. (1995) 'Minimal structures for T_FA'. Rend. Dell'Istituto Di Matematica Dell'Universitá Di Trieste, 27 :1124 [Details] 

(1995)  'Minimality with respect to Youngs' axiom'
McCluskey, A. E. and McCartan, S. D. (1995) 'Minimality with respect to Youngs' axiom'. Houston J. Math, 21 (2):413428 [Details] 

(1995)  'A minimal sober topology is always Scott'
McCartan, S.D., McCluskey, A.E. (1995) 'A minimal sober topology is always Scott'. Ann. N. Y. Acad. Sci, 806 :293303 [Details] 

(1993)  'Minimality with respect to T_SA and T_SD'
McCartan, S.D., McCluskey, A.E. (1993) 'Minimality with respect to T_SA and T_SD'. Topology With App, :8397 [Details] 

(1992)  'The minimal structures for T_A'
MCCLUSKEY, AE,MCCARTAN, SD (1992) 'The minimal structures for T_A'. Annals Of The New York Academy Of Sciences, 659 :138155 [Details] 
Books
Year  Publication  

(2014)  Undergraduate topology: a working textbook.
A. McCluskey and B. McMaster (2014) Undergraduate topology: a working textbook. Oxford: Oxford University Press. [Details] 
Book Chapters
Year  Publication  

(2006)  'Problems from the Galway Topology Colloquium'
Good, C., Marsh, A., McCluskey, A.E., McMaster, T.B.M. (2006) 'Problems from the Galway Topology Colloquium' In: Open Problems in General Topology II. Amsterdam: Elsevier. [Details] 
Conference Publications
Year  Publication  

(2005)  National Symposium of The Irish Research Council for Science, Engineering and Technology
Marsh, Andrew and McCluskey, Aisling (2005) The M1M3 Problem National Symposium of The Irish Research Council for Science, Engineering and Technology [Details] 

(2000)  Mathematical Proceedings of the Royal Irish Academy
McCluskey, Aisling E and McMaster, T Brian M (2000) Antichains in the Powerset of â„: Realisation through Induction Mathematical Proceedings of the Royal Irish Academy , pp.183188 [Details] 

(2015)  9th Congress of European Research in Mathematics Education
Ní Ríordáin, M. & McCluskey, A. (2015) Bilingual mathematics learners, conceptual mathematical activity and the role of their languages. How best to investigate? . In: K. Kraiser & N. N. Vondrova eds. 9th Congress of European Research in Mathematics Education Prague, Czech Republic, , 04FEB15  08FEB15 , pp.14541460 [Details] 

(2013)  12th International Congress on Mathematical Education (ICME12)
Ní Ríordáin, M. and McCluskey, A. (2013) The influence of bilingualism on mathematical problem solving at third level education in Ireland 12th International Congress on Mathematical Education (ICME12) [Details] 

(2011)  Volcanic Delta
Aisling McCluskey (2011) What are our Senior Undergraduates in Mathematics Learning? A Mathematician’s Hope Volcanic Delta , pp.278291 [Details] 

(2011)  4th Mathematics Education Ireland Conference
Aisling McCluskey (2011) Learning how to learn: exploring and enhancing accessibility and learning of abstract mathematics at thirdlevel 4th Mathematics Education Ireland Conference , pp.261271 [Details] 

(2011)  BSLRM Proceedings
S. Breen, A. McCluskey, M. Meehan, J. O’Donovan and A. O’Shea. (2011) Reflection on Practice, in Practice: The Discipline of Noticing BSLRM Proceedings , pp.712 [Details] 

(2010)  3rd Mathematics Education in Ireland conference (MEI3)
Ní Ríordáin, M and McCluskey, A (2010) Extending the mathematical capacity of Gaeilgeoirí: Assessing the effectiveness of bilingual mathematics instruction in first year undergraduate education 3rd Mathematics Education in Ireland conference (MEI3) [Details] 

(1998)  Proceedings of the First Summer Galway Topology Colloquium (1997)
McCluskey, A. E. and McMaster, T. B. M. and Watson, S. W. (1998) Representing setinclusion by embeddability (among the subspaces of the real line) Proceedings of the First Summer Galway Topology Colloquium (1997) [Details] 

(1998)  Proceedings of the First Summer Galway Topology Colloquium (1997)
McCluskey, A. E. and McMaster, T. B. M. (1998) Realizing quasiordered sets by subspaces of ``continuumlike'' spaces Proceedings of the First Summer Galway Topology Colloquium (1997) [Details] 

(1997)  Proceedings of the Eighth Prague Topological Symposium (1996)
McCluskey, A. E. and McCartan, S. D. (1997) $T_0$ and loosely nested are not complementary Proceedings of the Eighth Prague Topological Symposium (1996) [Details] 
Conference Contributions
Year  Publication  

(2014)  Psychology of Mathematics Education  38,
Ní Ríordáin, M. & McCluskey, A. (2014) A theoretical framework for the examination of the role of bilingual learners’ languages when engaged in conceptual mathematical learning. [Oral Presentation], Psychology of Mathematics Education  38, Vancouver, Canada , 15JUL14  20JUL14. [Details] 

(2013)  16th Galway Topology Colloquium 2013,
Aisling McCluskey, Jorge Bruno (2013) A categorical view of Top(X). [Other], 16th Galway Topology Colloquium 2013, NUI Galway , 08JUL13  10JUL13. [Details] 
Working Paper
Year  Publication  

(2006)  Tenth Prague Topological Symposium.
McCluskey, A. (2006) Tenth Prague Topological Symposium. Charles University, Prague: Working Paper [Details] 

(2005)  The independence of representation of posets in P(R).
McCluskey, A. (2005) The independence of representation of posets in P(R). University of Auckland: Working Paper [Details] 

(2005)  An application of forcing.
McCluskey, A. (2005) An application of forcing. NUI Maynooth: Working Paper [Details] 

(2005)  Ninth Galway Topology Colloquium.
McCluskey, A. (2005) Ninth Galway Topology Colloquium. Queen's University Belfast: Working Paper [Details] 

(2005)  Recent progress on order within P(R).
McCluskey, A. (2005) Recent progress on order within P(R). University of Cape Town: Working Paper [Details] 

(2005)  Order within P(R): a consistent counterexample.
McCluskey, A. (2005) Order within P(R): a consistent counterexample. NUI Galway: Working Paper [Details] 

(2004)  Determining antichains in P(R).
McCluskey, A. (2004) Determining antichains in P(R). University of Denver, Colorado: Working Paper [Details] 

(2004)  Order within the powerset of R.
McCluskey, A. (2004) Order within the powerset of R. University of Denver, Colorado: Working Paper [Details] 

(2003)  Irish Mathematical Society.
McCluskey, A. (2003) Irish Mathematical Society. NUI Galway: Working Paper [Details] 

(2003)  British Mathematical/Eighth Galway Topology Colloquium.
McCluskey, A. (2003) British Mathematical/Eighth Galway Topology Colloquium. University of Birmingham: Working Paper [Details] 

(2003)  Relative normality.
McCluskey, A. (2003) Relative normality. Dublin City University: Working Paper [Details] 

(2002)  Dense normality.
McCluskey, A. (2002) Dense normality. Queen's University Belfast: Working Paper [Details] 

(2001)  An elementary counterexample on dense normality.
McCluskey, A. (2001) An elementary counterexample on dense normality. University of Oxford: Working Paper [Details] 

(2001)  Relative normality within the Sorgenfrey plane.
McCluskey, A. (2001) Relative normality within the Sorgenfrey plane. NUI Galway: Working Paper [Details] 

(2001)  Ninth Prague Topological Symposium.
McCluskey, A. (2001) Ninth Prague Topological Symposium. Charles University, Prague: Working Paper [Details] 

(2001)  Sixth Galway Topology Colloquium.
McCluskey, A. (2001) Sixth Galway Topology Colloquium. University of Hull: Working Paper [Details] 

(1998)  Large posets within the powerset of R.
McCluskey, A. (1998) Large posets within the powerset of R. Boston College, Massachusetts: Working Paper [Details] 

(1997)  General Topology and its Applications.
McCluskey, A. (1997) General Topology and its Applications. University of Nipissing, Ontario: Working Paper [Details] 

(1997)  First Belfast Topology Colloquium.
McCluskey, A. (1997) First Belfast Topology Colloquium. Queen's University Belfast: Working Paper [Details] 

(1997)  First Summer Topology Colloquium.
McCluskey, A. (1997) First Summer Topology Colloquium. NUI Galway: Working Paper [Details] 

(1997)  c+ incomparable subspaces of R.
McCluskey, A. (1997) c+ incomparable subspaces of R. NUI Galway: Working Paper [Details] 

(1996)  Eighth Prague Topological Symposium.
McCluskey, A. (1996) Eighth Prague Topological Symposium. Charles University, Prague: Working Paper [Details] 

(1996)  Representation of qosets within R.
McCluskey, A. (1996) Representation of qosets within R. Mathematical Institute, Oxford: Working Paper [Details] 

(1996)  Topological Colloquium.
McCluskey, A. (1996) Topological Colloquium. University of Auckland, New Zealand: Working Paper [Details] 

(1996)  Representation of posets within R.
McCluskey, A. (1996) Representation of posets within R. Mathematical Institute, Oxford: Working Paper [Details] 

(1995)  General Topology and its Applications.
McCluskey, A. (1995) General Topology and its Applications. University of Southern Maine: Working Paper [Details] 

(1993)  Inductive construction of minimal elements.
McCluskey, A. (1993) Inductive construction of minimal elements. Mathematical Institute, Oxford: Working Paper [Details] 

(1993)  Minimality within the lattice of topologies.
McCluskey, A. (1993) Minimality within the lattice of topologies. NUI Cork: Working Paper [Details] 

(1993)  Colloquium on Topology.
McCluskey, A. (1993) Colloquium on Topology. János Bolyai Mathematical Society, Hungary: Working Paper [Details] 

(1993)  Eleventh International Conference on Topology.
McCluskey, A. (1993) Eleventh International Conference on Topology. University of Trieste, Italy: Working Paper [Details] 

(1992)  Minimal topological invariants.
McCluskey, A. (1992) Minimal topological invariants. NUI Galway: Working Paper [Details] 

(1992)  A nonnested minimal TUDstructure.
McCluskey, A. (1992) A nonnested minimal TUDstructure. Queen's University, Belfast: Working Paper [Details] 

(1991)  General Topology and its Applications.
McCluskey, A. (1991) General Topology and its Applications. University of Wisconsin, Madison: Working Paper [Details] 

(1991)  Annual Spring Topology Conference.
McCluskey, A. (1991) Annual Spring Topology Conference. University of California: Working Paper [Details] 

(1990)  Frame Theory workshop.
McCluskey, A. (1990) Frame Theory workshop. Mathematical Institute, Oxford: Working Paper [Details] 

(1990)  General Topology and its Applications.
McCluskey, A. (1990) General Topology and its Applications. Long Island University, New York: Working Paper [Details] 

(1989)  General Topology and its Applications.
McCluskey, A. (1989) General Topology and its Applications. University of Oxford: Working Paper [Details] 
Other Activities
Description  

Hosted the 16th Galway Topology Colloquium during July 8  10, 2013.www.maths.nuigalway.ie/conferences/GalTop16/ 