Title of article
Uniformly open mappings and uniform embeddings of function spaces
Author/Authors
Fedorchuk، نويسنده , , Vitaly V. and Künzi، نويسنده , , Hans-Peter A.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1995
Pages
24
From page
61
To page
84
Abstract
We study the class of uniformly open mappings between uniform spaces. Furthermore the Hausdorff uniformity on the space Cb(X) of bounded continuous real-valued functions of a supercomplete uniform space X is investigated. With the help of our results we prove that for the Menger curve μ1 the space Chb(μ1) is a universal uniform coretract for the spaces Chb(X), where X is an arbitrary Peano continuum and Chb(X) denotes the completion of CBb(X).
Keywords
Graph topology , Peano continuum , Menger curve , Uniform hyperspace , Uniformly perfect , Hausdorff uniformity , Uniform embedding , Uniformly open , Supercomplete uniform space
Journal title
Topology and its Applications
Serial Year
1995
Journal title
Topology and its Applications
Record number
1578539
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