Dual discreteness of \(\Sigma \)-products and irreducibility of infinite products

DOI10.1016/J.TOPOL.2024.109032MaRDI QIDQ6611771

Yukinobu Yajima, Yasushi Hirata

Publication date: 27 September 2024

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

zbMATH Keywords

productirreducible\(D\)-spacedually discrete\( \Sigma \)-product

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)

Cites Work

• Constructing \(aD\), non-\(D\)-spaces
• A note on \(\delta \)-strongly compact cardinals
• Classes defined by stars and neighbourhood assignments
• On the \(D\)-property of certain products
• On linear neighborhood assignments and dually discrete spaces
• Set theory. An introduction to independence proofs
• Some properties of the Sorgenfrey line and related spaces
• \(D\)-spaces and covering properties
• Equalities for the extent of infinite products and \(\varSigma\)-products
• \(C^\ast\) -, \(C\)- and \(P\)-embedded subsets in products and the undecidability of a certain property on \(\mathbb{N}^{\omega_1} \)
• On \(\omega_1\)-strongly compact cardinals
• On irreducible spaces
• Group radicals and strongly compact cardinals
• Concerning certain minimal cover refineable spaces
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