# Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

## Notes on Retracts of Coset Spaces

### Tom 53 / 2005

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

#### Streszczenie

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.

#### Autorzy

• 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

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