Hereditary normality of \(\gamma\mathbb{N}\)-spaces

DOI10.1016/0166-8641(94)00004-MzbMath0853.54022MaRDI QIDQ1900738

Boban Velickovic, Peter J. Nyikos, Lajos Soukup

Publication date: 23 October 1995

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

zbMATH Keywords

forcingopen coloring axiomfree sequencesequentialcountably compact spacehereditarily normal spacesequentially compactOCA\(\gamma \mathbb{N}\)-space\(\omega_ 1\)-towerFréchet-Uryson

Mathematics Subject Classification ID

Compactness (54D30) Sequential spaces (54D55) Consistency and independence results (03E35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35)

Related Items (2)

Scattered spaces from weak diamonds ⋮ Two step iteration of almost disjoint families

Cites Work

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• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• On spaces in which countably compact sets are closed, and hereditary properties
• Forcing axioms and stationary sets
• Hereditary normality versus countable tightness in countably compact spaces
• The Scarborough-Stone problem for Hausdorff spaces
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• Forcing Positive Partition Relations
• A Conjecture on Compact Frechet Spaces
• Countable tightness and proper forcing
• Partition Problems in Topology
• Normality and Martin's axiom
• Products of Perfectly Normal, Sequentially Compact Spaces
• On Compact Hausdorff Spaces of Countable Tightness
• Products of Nearly Compact Spaces

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