Homeomorphism Groups and the Topologist's Sine Curve
Jan J. Dijkstra ; Rachid Tahri
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 269-272 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281203 
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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) pp. 269-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-3-9/