Open subspaces of countable dense homogeneous spaces
Fundamenta Mathematicae, Tome 141 (1992) no. 2, pp. 101-108
Cet article a éte moissonné depuis 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.
@article{10_4064_fm_1992_141_2_1_101_108,
author = {Stephen Watson and Petr Simon},
title = {Open subspaces of countable dense homogeneous spaces},
journal = {Fundamenta Mathematicae},
pages = {101--108},
year = {1992},
volume = {141},
number = {2},
doi = {10.4064/fm_1992_141_2_1_101_108},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm_1992_141_2_1_101_108/}
}
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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
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