# 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))
doi:10.1016/0166-8641(94)90013-2
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
doi:10.1016/0166-8641(95)90010-1
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
doi:10.1090/S0002-9939-98-04163-X
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
doi:10.1016/0166-8641(95)00074-7
8. Bijective preimages of $\omega\sb 1$,
Topology Appl. 75 (1997), no. 2, 125--142
doi:10.1016/S0166-8641(96)00085-5
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
doi:10.1016/S0166-8641(98)00128-X
11. Monotone insertions of continuous functions, with Ian Stares,
Topology Appl. 108 (2000), no. 1, 91--104
doi:10.1016/S0166-8641(99)00122-4
12. Quasi-developable manifolds, with Paul Gartside, Robin Knight and Abdul Mohamad,
Topology Appl. 111 (2001) 207-215
doi:10.1016/S0166-8641(99)00206-0
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
doi:10.1016/S0166-8641(01)00210-3
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
doi:10.1016/S0166-8641(01)00300-5
17. Topology without choice Topology Atlas Invited Contributions, http://at.yorku.ca/z/a/a/a/57.htm
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
doi:10.1016/S0166-8641(03)00102-0
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,
http://drops.dagstuhl.de/opus/volltexte/2005/134 [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
doi:10.1090/S0002-9939-05-07965-7
22. Characterizing continuous functions on compact, Hausdorff spaces,
with Sina Greenwood, Robin Knight, Dave MacIntyre and Steve Watson,
doi:10.1016/j.aim.2005.11.002
23. Continuum many tent map inverse limits with homeomorphic postcritical omega-limit sets,
with Brian Raines,
Fund. Math. 191 (2006) 1--21
doi:10.4064/fm191-1-1
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
doi:10.4064/fm192-3-6
25. Monotone versions of countable paracompactness ,
with Lylah Haynes
Topology and its Applications 154 (2007) 734--740
doi:10.1016/j.topol.2006.08.006
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
doi:10.1016/j.topol.2009.04.001
28. A conference in honour of Peter Collins and Mike Reed,
edited with Robin Knight and Brian Raines,
Topology Appl., Special Issue 156, (2009)
doi:10.1016/j.topol.2009.04.001
29. Uncountable $\w$-limit sets with isolated points,
with Brian Raines and Rolf Suabedissen, Fund. Math. 205 (2009) 179--189
doi:10.4064/fm205-2-6
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
doi:10.1017/S0143385708001089
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
doi:10.3934/dcds.2010.27.1059
33. Homeomorphisms of two-point sets,,
with Ben Chad, Proc. A.M.S., 139 (2011), no. 7, 2287–2293.
doi:10.1090/S0002-9939-2011-10606-3
34. Interpolating functions,
with Ralph Kopperman and Filiz Yildiz, Topology Appl. 158 (2011), no 4, 582--593
doi:10.1016/j.topol.2010.12.002
35. A topological characterization of ordinals: van Dalen and Wattel revisited,
with Kyriakos Papadopoulos, Topology Appl. 159 (2012), 1565–-1572
doi:10.1016/j.topol.2011.02.014
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.
doi:10.1016/j.aim.2012.01.001
37. On the $\omega$-Limit Sets of Tent Maps,
with Andrew Barwell and Gareth Davies, Fund. Math. 217 (2012), 35--54.
doi:10.4064/fm217-1-4
38. Shadowing and Expansivity in Sub-Spaces
with Andrew Barwell, Piotr Oprocha, Fund. Math. 219 (2012), 223--243
doi:10.4064/fm219-3-2
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.
doi:10.3934/dcds.2013.33.181
40. Finite intervals in the lattice of topologies,
with Will Brian, David McIntyre and Robin Knight, Order 2013.
doi:10.1007/s11083-013-9304-6
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
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:
• Periodicity of induced maps on hyperspaces.,
with Leobardo Fernandez, Mate Puljiz
• Continuity in the rational world,
with Amna Ahmed
• The orbit structure of order preserving maps,
with Amna Ahmed
• The dynamics of countable compact metric spaces,
with Syahida binti Che Dzul-Kifli, Amna Ahmed and Columba Perez
• Two nests nice, three nests not,
with Kyriakos Papadopoulos, Will Brian and Gareth Davies

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