Notes on Retracts of Coset Spaces

• Autorzy: J. van Mill , G. J. Ridderbos
• Języki publikacji: EN

Abstrakty

EN

We study retracts of coset spaces. We prove that in certain spaces the set of points that are contained in a component of dimension less than or equal to n, is a closed set. Using our techniques we are able to provide new examples of homogeneous spaces that are not coset spaces. We provide an example of a compact homogeneous space which is not a coset space. We further provide an example of a compact metrizable space which is a retract of a homogeneous compact space, but which is not a retract of a homogeneous metrizable compact space.

Kategorie tematyczne

• 54C15: Retraction
• 54H11: Topological groups
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 2
• Strony: 169-179

Daty

wydano

2005

Twórcy

autor

J. van Mill

• Department of Mathematics, Faculty of Sciences, Vrije Universiteit, De Boelelaan 1081A, 1081 HV Amsterdam, the Netherlands

autor

G. J. Ridderbos

• Department of Mathematics, Vrije Universiteit, De Boelelaan 1081A, 1081 HV Amsterdam, the Netherlands

Identyfikatory

DOI

10.4064/ba53-2-6