Homeomorphism Groups and the Topologist's Sine Curve

Volume 58 / 2010

Jan J. Dijkstra, Rachid Tahri 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.

Authors

  • Jan J. DijkstraFaculteit der Exacte Wetenschappen//Afdeling Wiskunde
    Vrije Universiteit
    De Boelelaan 1081a
    1081 HV Amsterdam, The Netherlands
    e-mail
  • Rachid TahriFaculteit der Exacte Wetenschappen//Afdeling Wiskunde
    Vrije Universiteit
    De Boelelaan 1081a
    1081 HV Amsterdam, The Netherlands
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image