Non-weak cut, shore and non-cut points in Whitney levels

DOI10.1016/j.topol.2020.107335zbMath1455.54025OpenAlexW3043829228MaRDI QIDQ2215669

Idalia-Guadalupe Bautista-Callejas, Raúl Escobedo, Mauricio E. Chacón-Tirado

Publication date: 14 December 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107335

zbMATH Keywords

Whitney propertyhyperspacecontinuumcut pointshore pointweak cut point

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Hyperspaces of continua (54F16)

Cites Work

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• On blockers in continua
• Union of shore sets in a dendroid
• Shore points of a continuum
• On hyperspaces of non-cut sets of continua
• Nonblockers in hyperspaces
• Centers and shore points of a dendroid
• Shore points in dendroids and conical pointed hyperspaces
• The hyperspace of nonblockers of \(\mathcal{F}_1(X)\)
• Finite unions of shore sets
• Having cut-points is not a Whitney reversible property
• Non-cut, shore and non-block points in continua
• Whitney Levels in Hyperspaces of Certain Peano Continua
• Shore Points and Dendrites
• Some Characterizations of Arcs and Simple Closed Curves

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