\(\omega {}^*_ 2U(\omega_ 2)\) can be \(C^*\)-embedded in \(\beta \omega_ 2\)

DOI10.1016/0166-8641(90)90102-8zbMath0732.54006OpenAlexW2020526687MaRDI QIDQ808459

Alan Dow, John W. L. Merrill

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90102-8

zbMATH Keywords

ultrafilterStone-Čech remainder

Mathematics Subject Classification ID

Continuous maps (54C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40) (C)- and (C^*)-embedding (54C45) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

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• Set theory. An introduction to independence proofs
• On the role of supercompact and extendible cardinals in logic
• Extension of continuous functions in 𝛽𝐍
• Properties of Stone-Cech Compactifications of Discrete Spaces
• Aronszajn trees and the independence of the transfer property
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