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

DOI10.1016/j.topol.2008.09.008zbMath1166.54007OpenAlexW2151079426MaRDI QIDQ1005166

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

Publication date: 6 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.09.008

zbMATH Keywords

topological group\(C(X)\)lattice-ordered groupcompact-open topologyframeAronszajn treeepimorphismmonomorphismČech-stone compactificationcompact-zero topologyepi-to\-po\-logypressing-downspace with filter

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) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Other combinatorial set theory (03E05) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Topological and differentiable algebraic systems (22A99)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completeness properties of function spaces
• Stone-Čech compactification of a product
• Epimorphisms of frames
• Epi-topology and epi-convergence for Archimedean lattice-ordered groups with unit
• An intrinsic characterization of monomorphisms in regular Lindelöf locales
• Monomorphisms in spaces with Lindelöf filters

This page was built for publication: Topological group criterion for \(C(X)\) in compact-open-like topologies. I