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ArticleOriginal scientific text

Title

Open subspaces of countable dense homogeneous spaces

Authors 1, 2

Affiliations

  1. Department of Mathematics, York University, North York, Ontario, Canada M3J 1P3
  2. >Matematický Ústav, University Karlov, Sokolovská 83, 18 600 Praha 8, Czechoslovakia

Abstract

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 C1-diffeomorphism of the plane which takes one countable dense set to another.

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm141/fm14121.pdf

Fundamenta Mathematicae
1992/141/2
Export to PBN, Opens in new tab
Pages:
101-108
Main language of publication
English
Received
1989-02-20
Accepted
1991-06-03
Published
1992
Exact and natural sciences