Title of article
Selections and totally disconnected spaces
Author/Authors
Gutev، نويسنده , , Valentin and Nogura، نويسنده , , Tsugunori، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2008
Pages
6
From page
824
To page
829
Abstract
We demonstrate that for every n < ω there exists a separable completely metrizable space X n which has a continuous selection for its Vietoris hyperspace of nonempty compact subsets, but dim ( X n ) = n . Related results and open problems are discussed.
Keywords
Hyperspace topology , Vietoris topology , Continuous selection , Totally disconnected space
Journal title
Topology and its Applications
Serial Year
2008
Journal title
Topology and its Applications
Record number
1581625
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