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LOCAL COMPACTNESS IN SEMI-UNIFORM CONVERGENCE SPACES

 

作者: Gerhard Preuss,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1996）
卷期: Volume 19, issue 3-4  

页码: 453-466

 

ISSN:1607-3606

 

年代: 1996

 

DOI:10.1080/16073606.1996.9631989

 

出版商: Taylor & Francis Group

 

关键词: 54A05;54A20;54D30;54D35;54D50;54305;54315;18A40;18D15;Semi-uniform convergence spaces;uniform convergence spaces (= uniform limit spaces);convergence spaces;local compactness;k-spaces;one-point compactifications;Cartesian closedness;bicoreflective subcate

 

数据来源: Taylor

 

摘要:

Local compactness is studied in the highly convenient setting of semi-uniform convergence spaces which form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces). It turns out that it leads to a cartesian closed topological category and, in contrast to the situation for topological spaces, the local compact spaces are exactly the compactly generated spaces. Furthermore, a one-point Hausdorff compactification for noncompact locally compact Hausdorff convergence spaces is considered.1

 

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