The mapping class group of powers of the long ray and other non-metrisable spaces

Baillif, M; Deo, S; Gauld, David

dc.contributor.author	Baillif, M	en
dc.contributor.author	Deo, S	en
dc.contributor.author	Gauld, David	en
dc.date.accessioned	2012-03-16T03:37:08Z	en
dc.date.issued	2010	en
dc.identifier.citation	Topology and its Applications 157(8):1314-1324 2010	en
dc.identifier.issn	0166-8641	en
dc.identifier.uri	http://hdl.handle.net/2292/14559	en
dc.description.abstract	We identify the mapping class group, ie the space of homeomorphisms modulo isotopy, of powers of the long ray and long line as well as generalisations of the long plane obtained by taking copies of the first octant of the long plane and identifying them along their boundaries. We show that every countable group is the mapping class group of such a space. We also consider homotopy classes of continuous functions between these spaces.	en
dc.description.uri	http://dx.doi.org/10.1016/j.topol.2009.07.018	en
dc.publisher	Elsevier Inc	en
dc.relation.ispartofseries	Topology and Its Applications	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/0166-8641/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.subject	Long line, long ray, group of homeomorphisms, mapping class group, isotopy, torsion, $\omega$-bounded, Type I, homotopy class, directed graph	en
dc.title	The mapping class group of powers of the long ray and other non-metrisable spaces	en
dc.type	Journal Article	en
dc.identifier.doi	10.1016/j.topol.2009.07.018	en
pubs.issue	8	en
pubs.begin-page	1314	en
pubs.volume	157	en
dc.rights.holder	Copyright: Elsevier B.V.	en
pubs.end-page	1324	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	88655	en
pubs.record-created-at-source-date	2010-09-01	en