Notes on Retracts of Coset Spaces

Volume 53 / 2005

J. van Mill, G. J. Ridderbos Bulletin Polish Acad. Sci. Math. 53 (2005), 169-179 MSC: 54C15, 54F45, 54H11. DOI: 10.4064/ba53-2-6

Abstract

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.

Authors

  • J. van MillDepartment of Mathematics
    Faculty of Sciences
    Vrije Universiteit
    De Boelelaan 1081A
    1081 HV Amsterdam, the Netherlands
    e-mail
  • G. J. RidderbosDepartment of Mathematics
    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