Baire space and second category extensions |
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Authors: | John W Carlson |
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Institution: | Department of Mathematics, Emporia State University, Emporia, KS 66801, USA |
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Abstract: | Nearness structures induced by a T1 second category or Baire space strict extension are characterized. Given a T1 topological space it is shown that there exists a one-to-one correspondence between compatible nearness structures satisfying certain stated conditions and T1 Baire space strict extensions of the space, up to the usual equivalence. A similar result is provided for second category T1 strict extensions. |
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Keywords: | 54-02 54A05 54B99 54D99 |
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