Title of article
Hyperspaces of Peano and ANR continua
Author/Authors
Yagasaki، نويسنده , , Tatsuhiko، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2001
Pages
12
From page
309
To page
320
Abstract
Suppose X is a locally connected continuum without free arcs. It is known that the hyperspace C(X) is homeomorphic to the Hilbert cube Q. Let Lc(X) and ANRc(X) denote the subspaces of C(X) consisting of locally connected continua and ANR continua in X. In this article we show that if X has DD1P then the pair (C(X),Lc(X)) is homeomorphic to (Q,Q0) and if, in addition, every nonempty open subset of X contains a 3-disk then the pair (C(X),ANRc(X)) is homeomorphic to (Q,Ω3).
Keywords
Hyperspace , Q-manifold , Peano continua , Absorber , ANR
Journal title
Topology and its Applications
Serial Year
2001
Journal title
Topology and its Applications
Record number
1576375
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