scholarly journals A constructive and functorial embedding of locally compact metric spaces into locales

2007 ◽  
Vol 154 (9) ◽  
pp. 1854-1880 ◽  
Author(s):  
Erik Palmgren
Keyword(s):  
Metric Spaces ◽  
Locally Compact ◽  
Compact Metric Spaces

scholarly journals Quantum locally compact metric spaces

2013 ◽  
Vol 264 (1) ◽  
pp. 362-402 ◽  
Author(s):  
Frédéric Latrémolière
Keyword(s):  
Metric Spaces ◽  
Locally Compact ◽  
Compact Metric Spaces

An Algebraic Characterization of Remainders of Compactifications

1983 ◽  
Vol 26 (3) ◽  
pp. 347-350
Author(s):  
James Hatzenbuhler ◽  
Don A. Mattson ◽  
Walter S. Sizer
Keyword(s):  
Hausdorff Space ◽  
Metric Spaces ◽  
Quotient Ring ◽  
Algebraic Characterization ◽  
Locally Compact ◽  
Completely Regular ◽  
Compact Metric Spaces ◽  
Primitive Idempotents

AbstractLet X be a locally compact, completely regular Hausdorff space. In this paper it is shown that all compact metric spaces are remainders of X if and only if the quotient ring C*(X)/C∞(X) contains a subring having no primitive idempotents.

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