Monotone normality and nabla products

DOI10.4064/fm926-10-2020OpenAlexW3153571062WikidataQ114021990 ScholiaQ114021990MaRDI QIDQ5162570

P. M. Gartside, Hector Alonzo Barriga-Acosta

Publication date: 3 November 2021

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15163

zbMATH Keywords

paracompactmonotone normalitybox productnabla productRoitman's \(\Delta\) principle

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20) Applications of set theory (03E75) Basic constructions in general topology (54B99) Consistency and independence results in general topology (54A35) Peculiar topological spaces (54G99)

Cites Work

• Paracompactness, normality, and related properties of topologies on infinite products
• Monotone normality in products
• Nonstratifiability of topological vector spaces
• More remarks on Souslin properties and tree topologies
• The Box Product of Countably Many Copies of the Rationals is Consistently Paracompact
• Paracompactness of Box Products of Compact Spaces
• More Paracompact Box Products
• Monotone normality
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