Weak P-Points in Cech-Stone Compactifications

DOI10.2307/1999934zbMath0498.54022OpenAlexW4234527527MaRDI QIDQ3963698

Jan van Mill

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999934

zbMATH Keywords

extension theoremweak P-pointCech-Stone compactificationCech-Stone remaindersccc nowhere separable remainder of the countable discrete spacehomogeneity of spacesnice filtersnowhere ccc nonpseudocompact spacenowhere of weight \(\leq 2^\omega\)sum of countably many compact ccc spaces

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Remainders in general topology (54D40)

Related Items (16)

Disconnection in the Alexandroff duplicate ⋮ A non-trivial copy of 𝛽ℕ∖ℕ ⋮ More topological partition relations on ${\beta}{\omega}$ ⋮ Between countably compact and \(\omega\)-bounded ⋮ Some compactifications of the integers ⋮ On nonseparable growths of 𝜔 supporting measures ⋮ The Stone-Čech compactification of the rational world ⋮ On minimal \(\pi\)-character of points in extremally disconnected compact spaces ⋮ \(\mathcal P\)-remote points of \(X\) ⋮ Strong non-remote points ⋮ Remote points in large products ⋮ Many weak P-sets ⋮ Saturated Boolean algebras and their Stone spaces ⋮ A Separable Space with no Remote Points ⋮ Nonseparable growth of the integers supporting a measure ⋮ \(\omega\)-far points in large spaces.

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