Geodesic
On Countable Dense and Strong Local Homogeneity
Jan van Mill1
1 Faculteit Exacte Wetenschappen Afdeling Wiskunde Vrije Universiteit De Boelelaan 1081A 1081 HV Amsterdam, The Netherlands
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 4, pp. 401-408

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

We present an example of a connected, Polish, countable dense homogeneous space $X$ that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of $X$ is the identity on no nonempty open subset of $X$.
DOI : 10.4064/ba53-4-5
Keywords: present example connected polish countable dense homogeneous space strongly locally homogeneous nontrivial homeomorphism identity nonempty subset

Jan van Mill 1

1 Faculteit Exacte Wetenschappen Afdeling Wiskunde Vrije Universiteit De Boelelaan 1081A 1081 HV Amsterdam, The Netherlands 
@article{10_4064_ba53_4_5,
     author = {Jan van Mill},
     title = {On {Countable} {Dense} and {Strong} {Local} {Homogeneity}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {401--408},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2005},
     doi = {10.4064/ba53-4-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba53-4-5/}
}
TY  - JOUR
AU  - Jan van Mill
TI  - On Countable Dense and Strong Local Homogeneity
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2005
SP  - 401
EP  - 408
VL  - 53
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba53-4-5/
DO  - 10.4064/ba53-4-5
LA  - en
ID  - 10_4064_ba53_4_5
ER  - 
%0 Journal Article
%A Jan van Mill
%T On Countable Dense and Strong Local Homogeneity
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2005
%P 401-408
%V 53
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba53-4-5/
%R 10.4064/ba53-4-5
%G en
%F 10_4064_ba53_4_5
Jan van Mill. On Countable Dense and Strong Local Homogeneity. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 4, pp. 401-408. doi: 10.4064/ba53-4-5

Cité par Sources :