Chris's Publications
Papers: (The links are not necessarily to the final published version.)
-
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
- Large cardinals and small Dowker spaces,
Proc.
Amer. Math. Soc. 123 (1995), no. 1, 263--272
doi: unknown
- Large cardinals and Dowker products,
Comment.
Math. Univ. Carolin. 35 (1994), no. 3, 515--522
doi: unknown
- 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
- 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
- Dowker spaces, anti-Dowker spaces, products and
manifolds,
Topology Proc. 20 (1995),
123--143
doi: unknown
- 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
- Bijective preimages of $\omega\sb 1$,
Topology
Appl. 75 (1997), no. 2, 125--142
doi:10.1016/S0166-8641(96)00085-5
- New proofs of classical insertion theorems, with Ian
Stares,
Comment. Math. Univ. Carolin. 41
(2000), no. 1, 139--142
doi: unknown
- 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
- Monotone insertions of continuous functions, with
Ian Stares,
Topology Appl. 108 (2000), no. 1,
91--104
doi:10.1016/S0166-8641(99)00122-4
- 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
- A metrization theorem for pseudocompact spaces, with
Abdul Mohamad,
Bull. Australian Math. Soc. 63
(2001) no. 1, 101-104
doi: unknown
- A note on monotone countable paracompactness, with Ge
Ying,
Comment. Math. Univ. Carolinae 42 (2001) no. 4, 771-778
doi: unknown
- 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
- 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
- Topology without choice Topology Atlas Invited
Contributions, http://at.yorku.ca/z/a/a/a/57.htm
- Lindel\"of spaces, in The Encyclopedia of General
Topology,
edited by K.P. Hart, Jun-iti Nagata, and J.E. Vaughan,
Elsevier, 2003
- Symmetric $g$-functions,
with Dan Jennings and Abdul Mohamad,
Topology Appl.
134 (2003) 111-122
doi:10.1016/S0166-8641(03)00102-0
- 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]}
- 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
- 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.
doi:10.1016/j.aim.2005.11.002
- 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
- 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
- Monotone versions of countable paracompactness ,
with
Lylah Haynes
Topology and its Applications 154
(2007) 734--740
doi:10.1016/j.topol.2006.08.006
- 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
- Monotone versions of $\delta$
normality ,
with Lylah Haynes, Topology Appl. 156, (2009), 1985--1992
doi:10.1016/j.topol.2009.04.001
- 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
- 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
- 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
- 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
- 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
- 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
- Interpolating functions,
with Ralph Kopperman
and Filiz Yildiz, Topology Appl. 158 (2011), no 4, 582--593
doi:10.1016/j.topol.2010.12.002
- 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
- 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
- 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
- Shadowing and Expansivity in Sub-Spaces
with Andrew Barwell,
Piotr Oprocha, Fund. Math. 219 (2012), 223--243
doi:10.4064/fm219-3-2
- 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
- Finite intervals in the lattice of topologies,
with Will Brian, David McIntyre and Robin Knight, Order 2013.
doi:10.1007/s11083-013-9304-6
- 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:
- Chain transitivity in hyperspaces.,
with Leobardo Fernandez, Mate Puljiz, Artico Ramirez
- Shadowing in hyperspaces.,
with Leobardo Fernandez
- Symmetric products of generalized metric spaces,
with Sergio Macias
- A characterisation of compatible state space aggregations for discrete dynamical systems,
with David Parker, Mate Puljiz and Jonathan E. Rowe
- 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:
-
Topology without choice Topology Atlas Invited Contributions (1998)
- Review of Numbers and functions: steps into analysis by
R. P. Burn in Mathematical Gazette, Nov. (2002)
- Review of Calculus: concepts and methods by Ken Binmore
and Joan Davies in Mathematical Gazette
- Review of Berkeley Problems in Mathematics edited by
Paulo Ney de Souza and Jorge-Nuno Silva to appear in Mathematical
Gazette.
- Teaching by the Moore Method, MSOR Connections,
6 (2006) 34--38
- 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
- What can I do with a maths degree? and the interview for Meet the Mathematicians, 2011, YouTube
- A web resource Being a Professional Mathematician and an accompanying
booklet, joint with Tony Mann (who really did almost all of the work). 2012