Chris's Publications

    Papers: (The links are not necessarily to the final published version.)
  1. On $\delta$-normality, with Ian Tree,
    Topology Appl. 56 (1994), no. 2, 117--127
    (Erratum Topology Appl. 75 (1997))
  2. Large cardinals and small Dowker spaces,
    Proc. Amer. Math. Soc. 123 (1995), no. 1, 263--272
    doi: unknown
  3. Large cardinals and Dowker products,
    Comment. Math. Univ. Carolin. 35 (1994), no. 3, 515--522
    doi: unknown
  4. Continuing horrors of topology without choice, with Ian Tree,
    Topology Appl. 63 (1995), no. 1, 79--90
  5. On Stone's theorem and the axiom of choice, with Ian Tree and Steve Watson,
    Proc. Amer. Math. Soc. 126 (1998), no. 4, 1211--1218
  6. Dowker spaces, anti-Dowker spaces, products and manifolds,
    Topology Proc. 20 (1995), 123--143
    doi: unknown
  7. Inducing fixed points in the Stone-\v Cech compactification,
    Topology Appl. 69 (1996), no. 2, 145--152
  8. Bijective preimages of $\omega\sb 1$,
    Topology Appl. 75 (1997), no. 2, 125--142
  9. New proofs of classical insertion theorems, with Ian Stares,
    Comment. Math. Univ. Carolin. 41 (2000), no. 1, 139--142
    doi: unknown
  10. Monotone countable paracompactness, with Robin Knight and Ian Stares,
    Topology Appl. 101 (2000), no. 3, 281--298
    54E20 (54D20 54E30) 2000k:54024
  11. Monotone insertions of continuous functions, with Ian Stares,
    Topology Appl. 108 (2000), no. 1, 91--104
  12. Quasi-developable manifolds, with Paul Gartside, Robin Knight and Abdul Mohamad,
    Topology Appl. 111 (2001) 207-215
  13. A metrization theorem for pseudocompact spaces, with Abdul Mohamad,
    Bull. Australian Math. Soc. 63 (2001) no. 1, 101-104
    doi: unknown
  14. A note on monotone countable paracompactness, with Ge Ying,
    Comment. Math. Univ. Carolinae 42 (2001) no. 4, 771-778
    doi: unknown
  15. Measurable cardinals and finite intervals between regular topologies, with Dave McIntyre and Steve Watson,
    Topology Appl. 123 (2002) 429-441
  16. On the metrizability of spaces with a sharp base, with Robin Knight and Abdul Mohamad,
    Topology Appl. 123 (2002) 429-441
    Erratum , ibid 143 (2004) 291--292
  17. Topology without choice Topology Atlas Invited Contributions,
  18. Lindel\"of spaces, in The Encyclopedia of General Topology,
    edited by K.P. Hart, Jun-iti Nagata, and J.E. Vaughan, Elsevier, 2003
  19. Symmetric $g$-functions, with Dan Jennings and Abdul Mohamad,
    Topology Appl. 134 (2003) 111-122
  20. Auxiliary relations and sandwich theorems (electronic)
    with Achim Jung, Robin Knight and Ralph Kopperman,
    in Spatial Representations: Discrete vs. Continuous Computational Models, Dagstuhl Seminar Proceedings, [date of citation: 2005-01-01]}
  21. Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals,
    with Robin Knight,
    Proc. A.M.S 134 (2006) 591--597
  22. Characterizing continuous functions on compact, Hausdorff spaces,
    with Sina Greenwood, Robin Knight, Dave MacIntyre and Steve Watson,
    Advances in Mathematics Adv. Math. 206 (2006) 695--728.
  23. Continuum many tent map inverse limits with homeomorphic postcritical omega-limit sets,
    with Brian Raines,
    Fund. Math. 191 (2006) 1--21
  24. Nonhyperbolic one-dimensional invariant sets with a countably infinite collection of inhomogeneities,
    with Robin Knight and Brian Raines
    Fund. Math. 192 (2006), 267-289
  25. Monotone versions of countable paracompactness ,
    with Lylah Haynes
    Topology and its Applications 154 (2007) 734--740
  26. Problems from the Galway Topology Colloquium,
    with Andrew Marsh, Aisling McCluskey and Brian McMaster in Open problems in topology II edited by Elliott Pearl, Elsevier, Amsterdam, 2007
  27. Monotone versions of $\delta$ normality ,
    with Lylah Haynes, Topology Appl. 156, (2009), 1985--1992
  28. A conference in honour of Peter Collins and Mike Reed,
    edited with Robin Knight and Brian Raines,
    Topology Appl., Special Issue 156, (2009)
  29. Uncountable $\w$-limit sets with isolated points,
    with Brian Raines and Rolf Suabedissen, Fund. Math. 205 (2009) 179--189
  30. Continuity in separable metrizable and Lindel\"of spaces,
    with Sina Greenwood, Proc. A.M.S. 138 (2010), 577--591
    doi: 10.1090/S0002-9939-09-10149-1
  31. A characterization of $\w$-limit sets in shift spaces,
    with Andrew Barwell, Robin Knight and Brian Raines, Ergodic Theory and Dynam. Systems 30 (2010), 21--31
  32. Countable inverse limits of postcritical $\w$-limit sets of unimodal maps,
    with Robin Knight and Brian Raines, Discrete and Continuous Dynamical Systems, 27 (2010), no. 3, 1059--1078
  33. Homeomorphisms of two-point sets,,
    with Ben Chad, Proc. A.M.S., 139 (2011), no. 7, 22872293.
  34. Interpolating functions,
    with Ralph Kopperman and Filiz Yildiz, Topology Appl. 158 (2011), no 4, 582--593
  35. A topological characterization of ordinals: van Dalen and Wattel revisited,
    with Kyriakos Papadopoulos, Topology Appl. 159 (2012), 1565-1572
  36. A compact metric space that is universal for orbit spectra of homeomorphisms
    with Sina Greenwood, Brian Raines and Casey Sherman, Advances in Math. 229 (2012) 2670-2685.
  37. On the $\omega$-Limit Sets of Tent Maps,
    with Andrew Barwell and Gareth Davies, Fund. Math. 217 (2012), 35--54.
  38. Shadowing and Expansivity in Sub-Spaces
    with Andrew Barwell, Piotr Oprocha, Fund. Math. 219 (2012), 223--243
  39. Characterizations of $\omega$-Limit Sets in Topologically Hyperbolic Systems
    with Andrew Barwell, Piotr Oprocha and Brian Raines, Discrete and Continuous Dynamical Systems 33 (2013), 1819--1833.
  40. Finite intervals in the lattice of topologies,
    with Will Brian, David McIntyre and Robin Knight, Order 2013.
  41. On Devaney's definition of chaos and dense periodic points,
    with Syahida binti Che Dzul-Kifli, to appear in Amer. Math. Month.
    Papers submitted for publication:
  42. Chain transitivity in hyperspaces.,
    with Leobardo Fernandez, Mate Puljiz, Artico Ramirez
  43. Shadowing in hyperspaces.,
    with Leobardo Fernandez
  44. Symmetric products of generalized metric spaces,
    with Sergio Macias
  45. A characterisation of compatible state space aggregations for discrete dynamical systems,
    with David Parker, Mate Puljiz and Jonathan E. Rowe
  46. Period one implies chaos ... sometimes,
    with Syahida binti Che Dzul-Kifli
    Preprints that are going to be submitted very soon:

    Other Articles:
  1. Topology without choice Topology Atlas Invited Contributions (1998)
  2. Review of Numbers and functions: steps into analysis by R. P. Burn in Mathematical Gazette, Nov. (2002)
  3. Review of Calculus: concepts and methods by Ken Binmore and Joan Davies in Mathematical Gazette
  4. Review of Berkeley Problems in Mathematics edited by Paulo Ney de Souza and Jorge-Nuno Silva to appear in Mathematical Gazette.
  5. Teaching by the Moore Method, MSOR Connections, 6 (2006) 34--38
  6. We can't let them graduate unless, Discussion Group Report, in HE Mathematics Curriculum Summit,
    (HEA MSOR Network and National HE STEM Programme), Peter Rowlett (ed), with Chris Sangwin, 15-16
  7. What can I do with a maths degree? and the interview for Meet the Mathematicians, 2011, YouTube
  8. A web resource Being a Professional Mathematician and an accompanying booklet, joint with Tony Mann (who really did almost all of the work). 2012