Cosmicity of Cometrizable Spaces

DOI10.2307/2001076zbMath0667.54012OpenAlexW4238346517MaRDI QIDQ3819685

Gary Gruenhage

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001076

zbMATH Keywords

Sorgenfrey linecosmic spaceProper Forcing Axiomcometrizable space with no uncountable discrete subspacescontinuous image of a separable metric spaceLindelöf semimetric spacepointed countable chain condition

Mathematics Subject Classification ID

Consistency and independence results in general topology (54A35) Stratifiable spaces, cosmic spaces, etc. (54E20)

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Cites Work

• No dense metrizable \(G_\delta\)-subspaces in butterfly semi-metrizable Baire spaces
• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
• Proper forcing
• The density topology
• L-spaces and S-spaces in \(P(\omega)\)
• Embedding Cosmic Spaces in Lusin Spaces
• Forcing Positive Partition Relations
• Martin's axiom and a regular topological space with uncountable net weight whose countable product is hereditarily separable and hereditarily Lindelöf
• Two More Hereditarily Separable Non-Lindelöf Spaces
• Αll $ℵ_1$-dense sets of reals can be isomorphic
• A Regular Lindelof Semimetric Space which has no Countable Network
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