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Mathematics, Statistics & Applied Mathematics
Dr Aisling McCluskey
BSc, DPhil
Contact Details
College Lecturer

ADB2005
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics
T: 091 493162
E: aisling.mccluskey@nuigalway.ie
W: http://maths.nuigalway.ie/staff/aemccluskey.shtml

ADB2005
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics
T: 091 493162
E: aisling.mccluskey@nuigalway.ie
W: http://maths.nuigalway.ie/staff/aemccluskey.shtml
Biography
Peer Reviewed Journals
Year  Publication  

(2015)  'On faint continuity'
McCluskey, Aisling E. and Reilly, Ivan L. (2015) 'On faint continuity'. Appl. Gen. Topol, 16 (1):4552 [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] 

(1996)  'A minimal sober topology is always Scott'
McCluskey, A. E. and McCartan, S. D. (1996) 'A minimal sober topology is always Scott' In: New York Acad. Sci., New York. [Details] 

(1995)  'Minimality with respect to $T_SA$ and $T_SD$'
McCluskey, A. E. and McCartan, S. D. (1995) 'Minimality with respect to $T_SA$ and $T_SD$' In: J\'anos Bolyai Math. Soc., Budapest. [Details] 
Conference Publications
Year  Publication  

(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] 
Edited Books
Year  Publication  

(2004)  Encyclopaedia Of General Topology.
KP Hart (Ed.). (2004) Encyclopaedia Of General Topology Encyclopaedia Of General Topology. Amsterdam: Elsevier. [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  

(2009)  Abstract dynamical continua.
McCluskey, A. (2009) Abstract dynamical continua. NUI Galway: Working Paper [Details] 

(2007)  General Topology and its Applications.
McCluskey, A. (2007) General Topology and its Applications. Universidad Jaume 1 de Castellon: Working Paper [Details] 

(2007)  Tenth Galway Topology Colloquium.
McCluskey, A. (2007) Tenth Galway Topology Colloquium. University of Oxford: Working Paper [Details] 

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

(2006)  The Oxford Conference on Topology and Computer Science .
McCluskey, A. (2006) The Oxford Conference on Topology and Computer Science . University of Oxford: 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] 

(2005)  Devonport Topology Colloquium.
McCluskey, A. (2005) Devonport Topology Colloquium. University of Auckland: 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] 

(1989)  British Colloquium on Theoretical Computer Science.
McCluskey, A. (1989) British Colloquium on Theoretical Computer Science. University of London: Working Paper [Details] 
Other Activities
Description  

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