Geodesic
The hyperspace of finite subsets of a stratifiable space
Fundamenta Mathematicae, Tome 147 (1995) no. 1, pp. 1-9

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

It is shown that the hyperspace of non-empty finite subsets of a space $X$ is an ANR (an AR) for stratifiable spaces if and only if $X$ is a 2-hyper-locally-connected (and connected) stratifiable space.
DOI : 10.4064/fm_1995_147_1_1_1_9
Keywords: hyperspace, the Vietoris topology, stratifiable space, AR(S), ANR(S), 2-hyper-locally-connected

Robert Cauty 1 ; Bao-Lin Guo 1 ; Katsuro Sakai 1

1 
@article{10_4064_fm_1995_147_1_1_1_9,
     author = {Robert Cauty and Bao-Lin Guo and Katsuro Sakai},
     title = {The hyperspace of finite subsets of a stratifiable space},
     journal = {Fundamenta Mathematicae},
     pages = {1--9},
     publisher = {mathdoc},
     volume = {147},
     number = {1},
     year = {1995},
     doi = {10.4064/fm_1995_147_1_1_1_9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_1_1_1_9/}
}
TY  - JOUR
AU  - Robert Cauty
AU  - Bao-Lin Guo
AU  - Katsuro Sakai
TI  - The hyperspace of finite subsets of a stratifiable space
JO  - Fundamenta Mathematicae
PY  - 1995
SP  - 1
EP  - 9
VL  - 147
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_1_1_1_9/
DO  - 10.4064/fm_1995_147_1_1_1_9
LA  - en
ID  - 10_4064_fm_1995_147_1_1_1_9
ER  - 
%0 Journal Article
%A Robert Cauty
%A Bao-Lin Guo
%A Katsuro Sakai
%T The hyperspace of finite subsets of a stratifiable space
%J Fundamenta Mathematicae
%D 1995
%P 1-9
%V 147
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_1_1_1_9/
%R 10.4064/fm_1995_147_1_1_1_9
%G en
%F 10_4064_fm_1995_147_1_1_1_9
Robert Cauty; Bao-Lin Guo; Katsuro Sakai. The hyperspace of finite subsets of a stratifiable space. Fundamenta Mathematicae, Tome 147 (1995) no. 1, pp. 1-9. doi: 10.4064/fm_1995_147_1_1_1_9

Cité par Sources :