Characterizing continuous functions on compact spaces

Good, C; Greenwood, Sina; Knight, R; McIntyre, David; Watson, S

dc.contributor.author	Good, C	en
dc.contributor.author	Greenwood, Sina	en
dc.contributor.author	Knight, R	en
dc.contributor.author	McIntyre, David	en
dc.contributor.author	Watson, S	en
dc.date.accessioned	2012-03-28T02:51:51Z	en
dc.date.issued	2006	en
dc.identifier.citation	Advances in Mathematics 206(2):695-728 2006	en
dc.identifier.issn	0001-8708	en
dc.identifier.uri	http://hdl.handle.net/2292/15792	en
dc.description.abstract	We consider the following problem: given a set X and a function T :X→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.	en
dc.description.uri	http://www.sciencedirect.com/science	en
dc.publisher	Academic Press	en
dc.relation.ispartofseries	Advances in Mathematics	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0001-8708/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	Characterizing continuous functions on compact spaces	en
dc.type	Journal Article	en
dc.identifier.doi	10.1016/j.aim.2005.11.002	en
pubs.issue	2	en
pubs.begin-page	695	en
pubs.volume	206	en
dc.rights.holder	Copyright: Elsevier Inc.	en
pubs.end-page	728	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	60165	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
pubs.record-created-at-source-date	2010-09-01	en