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Attaining the spread at
cardinals which are not strong limits
Judith Roitman |
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Vol. 57 (1975), No. 2, 545–551
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Abstract |
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It is shown to be consistent with set theory that there is a cardinal κ and a Hausdorff space X such that cf (κ) > ω and sp (X) = κ and X contains no discrete subspace of cardinality κ; also, if X is a Hausdorff space such that cf (sp (X) = ω and X does not attain its spread, then X contains a subspace of a certain canonical form with the same spread. |
Mathematical Subject Classification 2000
Primary: 54A25
Secondary: 04-XX
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Milestones
Received: 26 November 1974
Revised: 5 February 1975
Published: 1 April 1975
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Authors |
| Judith Roitman | |
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