Perfect GO-spaces which have a perfect linearly ordered extension

DOI10.1016/S0166-8641(97)00019-9zbMath0884.54020OpenAlexW2016523178MaRDI QIDQ1372686

Wei-Xue Shi

Publication date: 17 March 1998

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00019-9

zbMATH Keywords

GO-spaceperfect orderable extension

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological characterizations of particular spaces (54F65) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

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Cites Work

• Any perfect GO-space with the underlying LOTS satisfying local perfectness can embed in a perfect LOTS
• Linearly ordered extensions of GO spaces
• On embeddings of perfect GO-spaces into perfect LOTS
• On powers of certain lines
• A perfect GO-space which cannot densely embed in any perfect orderable space
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