Some theorems on decomposable continua

DOI10.1016/j.topol.2023.108794arXiv2307.06058OpenAlexW4389627642MaRDI QIDQ6177060

Yoshiyuki Oshima, Eiichi Matsuhashi, Hayato Imamura

Publication date: 16 January 2024

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

Full work available at URL: https://arxiv.org/abs/2307.06058

zbMATH Keywords

inverse limitsWhitney reversible property\( D^{\ast \ast}\)-continua\( D^\ast \)-continuaWilder continua

Mathematics Subject Classification ID

Continua and generalizations (54F15) Hyperspaces of continua (54F16) Inverse limits of set-valued functions (54F17)

Cites Work

• Wilder continua and their subfamilies as coanalytic absorbers
• \(D\)-continua, \(D^\ast \)-continua, and Wilder continua
• Weakly Whitney preserving maps
• Monotone and weakly confluent set-valued functions and their inverse limits
• Some decomposable continua and Whitney levels of their hyperspaces
• D-continuum X admits a Whitney map for C(X) if and only if it is metrizable
• Concerning point sets with a special connectedness property
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