Notes on retracts of coset spaces

• Autorzy: Mill J. van , Ridderbos G. J.

Identyfikatory

DOI

10.4064/ba53-2-6

• 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.

Słowa kluczowe

EN

coset space; retraction; homogeneous space; dimension

PL

przestrzeń warstwowa; retrakcja; przestrzeń jednorodna; wymiar

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 2
• Strony: 169--179
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Mill J. van

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

autor

Ridderbos G. J.

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

Bibliografia

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