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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/fm_1995_147_1_1_1_9/

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