A Lindelöf space with no Lindelöf subspace of size $\aleph \textunderscore 1$

DOI10.1090/S0002-9939-02-06367-0zbMath0989.54005OpenAlexW1540175519MaRDI QIDQ4330605

Franklin D. Tall, Piotr Koszmider

Publication date: 13 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06367-0

zbMATH Keywords

nonreflection

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Consistency and independence results in general topology (54A35)

Related Items (5)

Some observations on compact indestructible spaces ⋮ Open problems in topology. ⋮ Measurable cardinals and the cardinality of Lindelöf spaces ⋮ On the reflection of the countable chain condition ⋮ Reflecting Lindelöfness

Cites Work

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• Set theory. An introduction to independence proofs. 2nd print
• Reflecting Lindelöfness
• Trees, subtrees and order types
• Remarks on the Cardinality of Compact Spaces and Their Lindelof Subspaces
• On a problem of Sikorski
• On some problems in general topology
• The Baire Category and Forcing Large Lindelof Spaces with Points G δ

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