Remote points in large products

DOI10.1016/0166-8641(83)90003-2zbMath0509.54021OpenAlexW2000708028MaRDI QIDQ1838187

Alan Dow

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90003-2

zbMATH Keywords

countable chain conditionremote pointsSouslin lineCech-Stone compactificationlarge products of spaces with countable pi-weight which are not pseudocompactpi-base

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40)

Related Items (13)

Products and Remote Points: Examples and Counterexamples ⋮ Some linked subsets of posets ⋮ Game strategies yield remote points ⋮ Alan Dow ⋮ New proofs of the consistency of the normal Moore space conjecture. I ⋮ In memoriam: Eric Karl van Douwen (1946-1987) ⋮ KRULL DIMENSION IN MODAL LOGIC ⋮ Martin's axiom and pathological points in \(\beta\) X\(\backslash X\) ⋮ On Collectionwise Normality of Locally Compact, Normal Spaces ⋮ Remote points in products under CH ⋮ Locally Finite Families, Completely Separated Sets and Remote Points ⋮ Products without remote points ⋮ \(\omega\)-far points in large spaces.

Cites Work

• Spaces without remote points
• Remote points and G-spaces
• Sixteen topological types in beta omega-omega
• Products and Remote Points: Examples and Counterexamples
• On Nowhere Dense Closed P-Sets
• On Nowhere Dense CCC P Sets
• Weak P-Points in Compact CCC F-Spaces
• Weak P-Points in Cech-Stone Compactifications
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