Number of open sets for a topology with a countable basis |
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| Authors: | Saharon Shelah |
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| Institution: | (1) Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel;(2) Department of Mathematics, Rutgers University, New Brunswick, NJ, USA |
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| Abstract: | LetT be the family of open subsets of a topological space (not necessarily Hausdorff or evenT
0). We prove that ifT has a countable base and is not countable, thenT has cardinality at least continuum.
Partially supported by the Basic Research Fund, Israeli Academy of Sciences. Publication no. 454 done 6,8/1991.
Partially sponsored by the Edmund Landau Center for research in Mathematical Analysis, supported by the Minerva Foundation
(Germany). |
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