Topological group criterion for \(C(\mathbf X)\) in compact-open-like topologies. II.

DOI10.1016/j.topol.2009.04.008zbMath1192.54004OpenAlexW4213356399MaRDI QIDQ1032890

Richard N. Ball, V. Gochev, S. Zoble, Anthony W. Hager

Publication date: 5 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.008

zbMATH Keywords

topological groupPolish spacecontinuum hypothesisČech-Stone compactificationcompact-zero topologyspace with filterC(X)Epi-topology

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Continuum hypothesis and Martin's axiom (03E50) Topological groupoids (including differentiable and Lie groupoids) (22A22) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• Topological group criterion for \(C(X)\) in compact-open-like topologies. I
• Stone-Čech compactification of a product
• Epi-topology and epi-convergence for Archimedean lattice-ordered groups with unit

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