Some decomposable continua and Whitney levels of their hyperspaces

DOI10.1016/J.TOPOL.2022.108395OpenAlexW4315476285MaRDI QIDQ2683749

Yoshiyuki Oshima, Eiichi Matsuhashi

Publication date: 15 February 2023

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

Full work available at URL: https://arxiv.org/abs/2205.14502

zbMATH Keywords

Whitney propertyWhitney mapdecomposable continuumWilder continuum\( D^\ast \)-continuum\(D\)-continuum\( D^{\ast \ast}\)-continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Hyperspaces of continua (54F16)

Related Items (3)

Some theorems on decomposable continua ⋮ On weakly continuum-chainable and almost continuum-chainable continua ⋮ On Wilder, Strongly Wilder, Continuumwise Wilder, D, $$D^*$$, and $$D^{**}$$ Continua

Cites Work

• Continuum-wise injective maps
• Wilder continua and their subfamilies as coanalytic absorbers
• \(D\)-continua, \(D^\ast \)-continua, and Wilder continua
• Weakly Whitney preserving maps
• D-continuum X admits a Whitney map for C(X) if and only if it is metrizable
• Whitney properties
• Concerning point sets with a special connectedness property
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