Title of article
The bicompletion of the Hausdorff quasi-uniformity
Author/Authors
Künzi، نويسنده , , Hans-Peter A. and Romaguera، نويسنده , , S. and Granero، نويسنده , , M.A. Sلnchez، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2009
Pages
13
From page
1850
To page
1862
Abstract
We study conditions under which the Hausdorff quasi-uniformity U H of a quasi-uniform space ( X , U ) on the set P 0 ( X ) of the nonempty subsets of X is bicomplete.
we present an explicit method to construct the bicompletion of the T 0 -quotient of the Hausdorff quasi-uniformity of a quasi-uniform space. It is used to find a characterization of those quasi-uniform T 0 -spaces ( X , U ) for which the Hausdorff quasi-uniformity U ˜ H of their bicompletion ( X ˜ , U ˜ ) on P 0 ( X ˜ ) is bicomplete.
Keywords
Doubly stable , Quasi-uniform space , Uniform space , Stable filter , Cauchy filter , Hausdorff quasi-uniformity , Double cluster point , Bicompletion
Journal title
Topology and its Applications
Serial Year
2009
Journal title
Topology and its Applications
Record number
1582081
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