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

Authors
Deo, Satya
Gauld, David
Published in Topology and Its Applications. 2010, vol. 157, no. 8, p. 1314 - 1324
Abstract We identify the mapping class group, i.e. 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.
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BAILLIF, Mathieu, DEO, Satya, GAULD, David. The mapping class group of powers of the long ray and other non-metrisable spaces☆. In: Topology and Its Applications, 2010, vol. 157, n° 8, p. 1314 - 1324. https://archive-ouverte.unige.ch/unige:11965

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Deposited on : 2010-09-30

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