# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## Open subspaces of countable dense homogeneous spaces

### Tom 141 / 1992

Fundamenta Mathematicae 141 (1992), 101-108 DOI: 10.4064/fm_1992_141_2_1_101_108

#### Streszczenie

We construct a completely regular space which is connected, locally connected and countable dense homogeneous but not strongly locally homogeneous. The space has an open subset which has a unique cut-point. We use the construction of a $C^1$-diffeomorphism of the plane which takes one countable dense set to another.

#### Autorzy

• Stephen WatsonDepartment of Mathematics
York University
North York, Ontario