Perfect pre-images of \(\omega _ 1\) and the PFA

DOI10.1016/0166-8641(88)90072-7zbMath0656.54001OpenAlexW2026196056MaRDI QIDQ1110124

D. H. Fremlin

Publication date: 1988

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90072-7

zbMATH Keywords

charactercountable tightnessProper Forcing Axiomhereditarily collectionwise Hausdorff

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Consistency and independence results in general topology (54A35) Topological manifolds (57N99)

Related Items

Prime subspaces in free topological groups, On Compact Hausdorff Spaces of Countable Tightness, Various smoothings of the long line and their tangent bundles, Cofinality in Normal Almost Compact Spaces, Unnamed Item, Spread and Local Properties, First countable, countably compact spaces and the continuum hypothesis, Pseudoradial spaces and copies of \(\omega_1 + 1\), Combinatorial Dichotomies in Set Theory, Hereditarily normal manifolds of dimension greater than one may all be metrizable, On perfect pre-images of \(\omega _{1}\), Spaces having a small diagonal

Cites Work

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• Set theory. An introduction to independence proofs
• Proper forcing
• Topological characterizations of \(\omega{}_{\mu{}}\)-metrizable spaces
• Directed Sets and Cofinal Types
• PARACOMPACTNESS AND SUBPARACOMPACTNESS IN PERFECTLY NORMAL LOCALLY COMPACT SPACES