Topologicality of the Whitney topology on function spaces in the \(\omega_\mu\)-metric framework

DOI10.1016/j.topol.2023.108493OpenAlexW4360603834WikidataQ121295773 ScholiaQ121295773MaRDI QIDQ2699905

Anna Di Concilio

Publication date: 19 April 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108493

zbMATH Keywords

zero-dimensional spaceWhitney topologyuniform topologyHahn groupstotally ordered abelian group\(\omega_\mu\)-additive space\(\omega_\mu\)-metric spacefunction space topologyuniform spaces with a totally ordered baseArchimedean classcharacter or cofinality

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological characterizations of particular spaces (54F65) Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05) Topology of special sets defined by functions (54C50) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Nonstandard topology (54J05)

Cites Work

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