Homeomorphism Groups and the Topologist's Sine Curve

• Autorzy: Jan J. Dijkstra , Rachid Tahri
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57S05: Topological properties of groups of homeomorphisms or diffeomorphisms
• 54H11: Topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: 58
• Numer: 3
• Strony: 269-272

Daty

wydano

2010

Twórcy

autor

Jan J. Dijkstra

• Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

autor

Rachid Tahri

• Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands

Identyfikatory

DOI

10.4064/ba58-3-9