Chris's Publications
Papers:
- On $\delta$-normality, with Ian Tree,
Topology Appl. 56 (1994), no. 2, 117--127
54D15 (54D20 54E30) 95d:54016. (Erratum Topology Appl. 75 (1997))
- Large cardinals and small Dowker spaces,
Proc. Amer. Math. Soc. 123 (1995), no. 1, 263--272
03E35 (03E55 54D15 54D20 54G15) 95c:03127
- Large cardinals and Dowker products,
Comment. Math. Univ. Carolin. 35 (1994), no. 3, 515--522
54D15 (03E35 03E55 54D20) 95k:54040a
- Continuing horrors of topology without choice,
with Ian Tree,
Topology Appl. 63 (1995), no. 1, 79--90
54A35 (03E25 54D15 54E35 54F05) 96f:54003
- 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
03E25 (03E35 54D20 54E35) 98f:03044
- Dowker spaces, anti-Dowker spaces, products and manifolds,
Topology Proc. 20 (1995), 123--143
54D20 (54A35 54B10 54D15) 98d:54041
- Inducing fixed points in the Stone-\v Cech compactification,
Topology Appl. 69 (1996), no. 2, 145--152
54H25 (54A10 54C20 54D35) 97d:54071
- Bijective preimages of $\omega\sb 1$,
Topology Appl. 75 (1997), no. 2, 125--142
54C99 (54A10 54D15 54D20 54G20) 98a:54016
- New proofs of classical insertion theorems, with Ian Stares,
Comment. Math. Univ. Carolin. 41 (2000), no. 1, 139--142
54C30 (54B10 54D15) 1 756 934
- Monotone countable paracompactness, with Robin Knight
and Ian Stares,
Topology Appl. 101 (2000), no. 3, 281--298
54E20 (54D20 54E30) 2000k:54024
- Monotone insertions of continuous functions, with
Ian Stares,
Topology Appl. 108 (2000), no. 1, 91--104
- Quasi-developable manifolds, with Paul Gartside, Robin Knight and
Abdul Mohamad,
Topology Appl. 111 (2001) 207-215
- A metrization theorem for pseudocompact spaces, with Abdul Mohamad,
Bull. Australian Math. Soc. 63 (2001) no. 1, 101-104
- A note on monotone countable paracompactness, with Ge Ying,
Comment. Math. Univ. Carolinae 42 (2001) no. 4, 771-778
- Measurable cardinals and finite intervals between
regular topologies, with Dave McIntyre and Steve Watson,
Topology Appl. 123 (2002) 429-441
- 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
- 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
- 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
- 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.
- Continuum many tent map inverse limits with
homeomorphic postcritical omega-limit sets
with Brian Raines,
Fund. Math. 191 (2006) 1--21.
- Nonhyperbolic one-dimensional invariant sets with a
countably infinite collection of inhomogeneities
with Robin Knight and Brian Raines
Fund. Math. 192 (2006), 267-289
- Monotonizations of countable paracompactness
with Lylah Haynes
Topology and its Applications 154 (2007) 734--740
Articles:
- 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
Papers submitted for publication:
- The Galway Problems
with Andrew Marsh, Aisling McCluskey and Brian McMaster
Papers in various stages of preparation:
- A way below relation on functions,
with Robin Knight and Ralph Kopperman
- Monotone $\delta$ normality
with Lylah Haynes
- Characterizing continuous functions on Lindelof spaces
with Sina Greenwood
- Topological characterizations of ordinals
- Uncountable omega-limit sets of tent maps
with Robin Knight and Brian Raines
- Characterizing omega-limit sets
with Robin Knight and Brian Raines
- Daft $\diamondsuit$s and the Balogh-Rudin Technique,
with Robin Knight
Papers that are 'on going,' i.e. consist of a scrappy TeX file,
a folder full of bits of paper and some ideas that might pan out
- ADS, FADS and GADS,
with Sina Greenwood
- Finite intervals in the lattice of topologies,
with Dave McIntyre
- A hierarchy of $G_\delta$ diagonals, with Abdul Mohamad
- Killing possible small Dowker spaces with Robin Knight
- An approach to teaching compactness,
with Chris Sangwin
- Another look at continuous, nowhere differentiable functions,
with Chris Sangwin
- Daft $\diamondsuit$s and Dowker spaces,
with Robin Knight and Dave McIntyre