Normal spaces and fixed points of Čech-Stone extensions

DOI10.1016/S0166-8641(97)00130-2zbMath0946.54037MaRDI QIDQ1295261

Michael van Hartskamp, Jan van Mill

Publication date: 23 October 2000

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

zbMATH Keywords

Čech-Stone compactificationfixed-point free mapcoloring of a map

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20) Extension of maps (54C20)

Related Items (4)

Fixed-point free maps on the reals and more ⋮ An algebraic version of Tamano's theorem for countably compact spaces ⋮ Free \(G\)-spaces and maximal equivariant compactifications ⋮ Separation of a diagonal

Cites Work

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• \(\beta X\) and fixed-point free maps
• A technique for constructing honest locally compact submetrizable examples
• \(G_ \delta\)-open functionally bounded subsets in topological groups
• Inducing fixed points in the Stone-Čech compactification
• A separable normal topological group need not be Lindelöf

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