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Baire space and second category extensions
Authors:John W Carlson
Institution:Department of Mathematics, Emporia State University, Emporia, KS 66801, USA
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.
Keywords:54-02  54A05  54B99  54D99
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