Open subspaces of countable dense homogeneous spaces
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.
@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},
publisher = {mathdoc},
volume = {141},
number = {2},
year = {1992},
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/}
}
TY - JOUR AU - Stephen Watson AU - Petr Simon TI - Open subspaces of countable dense homogeneous spaces JO - Fundamenta Mathematicae PY - 1992 SP - 101 EP - 108 VL - 141 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm_1992_141_2_1_101_108/ DO - 10.4064/fm_1992_141_2_1_101_108 LA - en ID - 10_4064_fm_1992_141_2_1_101_108 ER -
%0 Journal Article %A Stephen Watson %A Petr Simon %T Open subspaces of countable dense homogeneous spaces %J Fundamenta Mathematicae %D 1992 %P 101-108 %V 141 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm_1992_141_2_1_101_108/ %R 10.4064/fm_1992_141_2_1_101_108 %G en %F 10_4064_fm_1992_141_2_1_101_108
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
Cité par Sources :