Trees and proto-metrizable spaces

DOI10.2140/PJM.1983.104.55zbMath0386.54020OpenAlexW2081853719MaRDI QIDQ1249789

Luther B. Fuller

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.104.55

zbMATH Keywords

proto-metrizable spaceLashnev spacesbranch space of a treeclosed continuous image of a non-archemedian spacecofinal tree of regular closed subsetscompact G-delta-setparacompact space with ortho-baseparacompact space with perfectly monotone ortho-baseproto- uniformizing family well-ordered by refinementstrongly symmetric M1-normal spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Topological spaces and generalizations (closure spaces, etc.) (54A05) Ordered sets (06A99) Semimetric spaces (54E25)

Related Items (6)

Elastic spaces may snap under perfect maps ⋮ Some weak covering properties and infinite games ⋮ On monotone paracompactness ⋮ Monotone properties defined from stars of open coverings ⋮ A note on proto-metrisable spaces ⋮ Unnamed Item

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