Graphs have unique quotient hyperspace \(\mathcal{C}_1^n(X)\)

DOI10.1016/j.topol.2021.107996zbMath1487.54049OpenAlexW4206539234MaRDI QIDQ2074375

Ulises Morales-Fuentes, Sergio Macías-Alvarez

Publication date: 9 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107996

zbMATH Keywords

hyperspacecontinuumquotient space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Hyperspaces of continua (54F16)

Cites Work

• Uniqueness of hyperspaces for Peano continua
• Quotients of \(n\)-fold hyperspaces
• Framed continua have unique \(n\)-fold hyperspace suspension
• On the hyperspace suspension of a continuum.
• On the \(n\)-fold hyperspace suspension of continua.
• The hyperspace \(H S_m^n(X)\) for a finite graph \(X\) is unique
• Hereditarily indecomposable continua have unique hyperspace \(2^X\)
• Decompositions of \(E^ 3\) with a null sequence of starlike equivalent non-degenerate elements are \(E^ 3\)
• Topics on Continua
• Absolute n-fold hyperspace suspensions
• On the hyperspace of subcontinua of a finite graph I
• A characterization theorem for cellular maps
• Isomorphism-induced line isomorphisms on pseudographs
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