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Sentences Preserved between Equivalent Topological Bases

โœ Scribed by T. A. McKee

Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
451 KB
Volume
22
Category
Article
ISSN
0044-3050

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โœฆ Synopsis

A syntactical characterization will be proved, with respect to a suitable language for topology, of those sentences whose truth in one base of a topological space implies their truth in all bases of the space. Or, restating this, those sentences whose truth for a space can be 'equivalently tested in any base for the space. (An example is the HAUSDORFF axiom -that every two points are separated by open sets is equivalent to every two points being separated by basic sets.

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