Relations between \(\beta X\setminus X\) and a certain subspace of \(\lambda X\)

DOI10.1007/BF01178763zbMath0343.54017MaRDI QIDQ1232712

Jan van Mill

Publication date: 1977

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172579

Mathematics Subject Classification ID

Pathological topological spaces (54G15) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Counterexamples in general topology (54G20) Continuum hypothesis and Martin's axiom (03E50) Remainders in general topology (54D40) (C)- and (C^*)-embedding (54C45) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Cites Work

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• Homogeneity problems in the theory of Cech compactifications
• Martin's axiom and pathological points in \(\beta\) X\(\backslash X\)
• Homeomorphisms of three subspaces of \(\beta N-N\)
• Why certain Čech-Stone remainders are not homogeneous
• Compact metric spaces have binary bases
• Not all compact Hausdorff spaces are supercompact
• The dependence of some logical axioms on disjoint transversals and linked systems
• Internal cohen extensions
• The Stone Space of the Saturated Boolean Algebras
• Ultrafilters on a countable set
• Properties of Stone-Cech Compactifications of Discrete Spaces
• On some problems of Hausdorff and of Sierpiński

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