More on perfectly normal non-realcompact spaces |
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Authors: | Tetsuya Ishiu |
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Institution: | Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Blvd., Lawrence, KS 66045, USA |
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Abstract: | We use the space associated with a guessing sequence on ω1 to show that it is consistent with CH that there exists a locally countable, first-countable, locally compact, perfectly normal, non-realcompact space of size ℵ1 which does not contain any sub-Ostaszewski spaces. By a similar technique, it is shown to be consistent with that there exists a locally countable, first-countable, perfectly normal, non-realcompact space of size ℵ1. |
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Keywords: | primary 54D15 54D60 54D80 secondary 03E35 54G20 |
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