Journal article

Characterising continuous functions on compact spaces.

Abstract:: We consider the following problem: given a set X and a function T : X andrightarrow; X, does there exist a compact Hausdorff topology on X which makes T continuous? We characterize such functions in terms of their orbit structure. Given the generality of the problem, the characterization turns out to be surprisingly simple and elegant. Amongst other results, we also characterize homeomorphisms on compact metric spaces.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Knight, R., Good, C., McIntyre, D., & Greenwood, S. (2006). Characterising continuous functions on compact spaces. Advances in Mathematics, 206(2), 695–728.

MLA Style

Knight, R, et al. “Characterising Continuous Functions on Compact Spaces.” Advances in Mathematics, vol. 206, no. 2, 2006, pp. 695–728.

Chicago Style

Knight, R, C Good, D McIntyre, and S Greenwood. 2006. “Characterising Continuous Functions on Compact Spaces.” Advances in Mathematics 206 (2): 695–728.
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Files:: 1-s2.0-S0001870805003993-main.pdf

(Preview, Version of record, pdf, 311.6KB, Terms of use)

Publisher copy:: 10.1016/j.aim.2005.11.002

Authors

+ Knight, R More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Good, C More by this author

Role:: Author

+ McIntyre, D More by this author

Role:: Author

+ Greenwood, S More by this author

Role:: Author

Publisher:: Elsevier
Journal:: Advances in Mathematics More from this journal
Volume:: 206
Issue:: 2
Pages:: 695-728
Publication date:: 2006-11-01
DOI:: 10.1016/j.aim.2005.11.002
ISSN:: 0001-8708

Keywords:: compact Hausdorff

topologize

continuous

compactify

compact metric
Pubs id:: 28120
UUID:: uuid:2051dd99-1caf-4e29-b2d5-65574b0a23e9
Local pid:: pubs:28120
Source identifiers:: 28120
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_2051dd991caf4e29b2d565574b0a23e9

Terms of use

Copyright holder:: Elsevier BV
Copyright date:: 2006
Notes:: Copyright 2005 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 19/02/2014).

Licence:: Other

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