Neither first countable nor Cech-complete spaces are maximal Tychonoff connected

DOI10.1090/S0002-9939-98-04203-8zbMath0904.54012OpenAlexW1490517214MaRDI QIDQ4372754

Richard G. Wilson, W. Stephen Watson, Mikhail G. Tkachenko, Dmitrij B. Shakhmatov, Vladimir V. Tkachuk

Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04203-8

zbMATH Keywords

Čech-complete spaceconnected spacefiner connected topologymaximal connected topology

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Connected and locally connected spaces (general aspects) (54D05) Embedding (54C25) Local Lie groups (22E05)

Related Items (6)

Metrizable quotients of free topological groups ⋮ On \(b\)-connectedness and \(b\)-disconnectedness and their applications ⋮ The dual of a pseudocompact group refining the topology of the circle group ⋮ Minimal \(KC\) spaces are compact ⋮ A characterization of $X$ for which spaces $C_p(X)$ are distinguished and its applications ⋮ On good connected preimages

Cites Work

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• Applications of maximal topologies
• On submaximal spaces
• Spaces whose connected expansion preserve connected subsets
• An example of maximal connected Hausdorff space
• Maximal Connected Expansions of the Reals
• Maximal connected topologies
• Connected expansions of topologies
• Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)

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