Displaying similar documents to “Curve breakers”

Homeomorphism Groups and the Topologist's Sine Curve

Jan J. Dijkstra, Rachid Tahri (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

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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.