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ArticleOriginal scientific text

Title

The hyperspace of finite subsets of a stratifiable space

Authors 1, 2, 2

Affiliations

  1. Analyse Complexe et Géométrie, Université Paris VI, 4, Place Jussieu, 75252 Paris Cedex 05, France
  2. Institute of Mathematics, University of Tsukuba, Tsukuba 305, Japan

Abstract

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.

Keywords

ENG
hyperspace, the Vietoris topology, stratifiable space, AR(S), ANR(S), 2-hyper-locally-connected

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm147/fm14711.pdf

Fundamenta Mathematicae
1995/147/1
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Pages:
1-9
Main language of publication
English
Received
1993-11-07
Published
1995
Exact and natural sciences