The Smirnov compactification as a quotient space of the Stone-Čech compactification
For a separated proximity space, a decomposition of the Stone-Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities.
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1988-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171288000596 |