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

 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
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