sandwich-type characterization of completely regular spaces
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ID: 250036
2007
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Abstract
All the higher separation axioms in topology, except for complete regularity, are known to have sandwich-type characterizations. This note provides a characterization of complete regularity in terms of inserting a continuous real-valued function. The known fact that each continuous real valued function on a compact subset o fa Tychonoff space has a continuous extension to the whole space is obtained as a corollary.
| Reference Key |
garca2007appliedsandwich-type
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|---|---|
| Authors | ;Javier Gutiérrez García |
| Journal | Health and quality of life outcomes |
| Year | 2007 |
| DOI |
10.4995/agt.2007.1887
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| URL | |
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