Composants of the Stone-Čech remainder of the reals

DOI10.1016/j.topol.2015.09.024zbMath1373.03092OpenAlexW1869736199MaRDI QIDQ890059

Andreas Blass

Publication date: 9 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.09.024

zbMATH Keywords

compactificationcontinuumultrafiltercomposantStone-Čech remainderNCFnon-principalRudin-Keisler ordering

Mathematics Subject Classification ID

Consistency and independence results (03E35) Applications of set theory (03E75) Remainders in general topology (54D40) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

• Near coherence of filters. I: Cofinal equivalence of models of arithmetic
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• A non-metric indecomposable continuum
• On bicompact spaces
• Concerning hereditarily indecomposable continua
• A Characterization and Sum Decomposition for Operator Ideals
• Near Coherence of Filters. II: Applications to Operator Ideals, the Stone-Cech Remainder of a Half-Line, Order Ideals of Sequences, and Slenderness of Groups
• Indecomposable continua with one and two composants
• On the cofinality of ultrapowers
• Perturbations by Nilpotent Operators on Hilbert Space
• There may be infinitely many near-coherence classes underu< ∂
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