Homeomorphism Groups and the Topologist's Sine Curve
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 3, pp. 269-272.

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It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.
DOI : 10.4064/ba58-3-9
Keywords: shown deleting point topologists sine curve results locally compact connected space whose autohomeomorphism group topological group equipped compact open topology

Jan J. Dijkstra 1 ; Rachid Tahri 1

1 Faculteit der Exacte Wetenschappen//Afdeling Wiskunde Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
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Jan J. Dijkstra; Rachid Tahri. Homeomorphism Groups and the Topologist's Sine Curve. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 3, pp. 269-272. doi : 10.4064/ba58-3-9. http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-9/

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