Open subspaces of countable dense homogeneous spaces

Watson, Stephen ; Simon, Petr

Fundamenta Mathematicae, Tome 141 (1992), p. 101-108 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 1992-01-01

Zbl 0770.54017

EUDML-ID : urn:eudml:doc:211955

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