Geodesic
Open subspaces of countable dense homogeneous spaces
Stephen Watson1 ; Petr Simon2
1 Department of Mathematics York University North York, Ontario Canada M3J 1P3
2 Matematický Ústav University Karlov Sokolovská 83 18 600 Praha 8, Czechoslovakia
Fundamenta Mathematicae, Tome 141 (1992) no. 2, pp. 101-108.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm_1992_141_2_1_101_108

Stephen Watson 1 ; Petr Simon 2

1 Department of Mathematics York University North York, Ontario Canada M3J 1P3
2 Matematický Ústav University Karlov Sokolovská 83 18 600 Praha 8, Czechoslovakia 
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Stephen Watson; Petr Simon. Open subspaces of countable dense homogeneous spaces. Fundamenta Mathematicae, Tome 141 (1992) no. 2, pp. 101-108. doi : 10.4064/fm_1992_141_2_1_101_108. http://geodesic.mathdoc.fr/articles/10.4064/fm_1992_141_2_1_101_108/

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