Homeomorphism Groups and the Topologist's Sine Curve
Volume 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 269-272
MSC: 54H11, 57S05.
DOI: 10.4064/ba58-3-9
Abstract
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.
