The set functions \(\mathcal{K}\) and \(\mathcal{T}\) and the property of Kelley

DOI10.1016/j.topol.2023.108747OpenAlexW4387364117MaRDI QIDQ6181133

Sergio Macías-Alvarez

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108747

zbMATH Keywords

continuumadditivitydecomposable continuumhyperspacesindecomposable continuummonotone mapatomic mapproperty of Kelleyinduced mapaposyndetic continuumset functions \(\mathcal{K}\) and \(\mathcal{T}\)almost connected im kleinen continuumset functions continuous on continua

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Hyperspaces of continua (54F16)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on arcs in hyperspaces
• A homogeneous continuum without the property of Kelley
• Characterizations of \(\lambda\) connected plane continua
• Dynamics with Jones' set function \(\mathcal{T}\)
• Dynamics with set-valued functions and coselections
• Non-aposyndesis and non-hereditary decomposability
• A cut point theorem for plane continua
• The set functions T and K and irreducible continua
• ω-Connected Continua and Jones' K Function
• Monotone Decompositions of Hausdorff Continua
• Topics on Continua
• Set Function T
• The property of Kelley and continua
• Concerning Arcwise Connectedness and the Existence of Simple Closed Curves in Plane Continua
• Schlais' Theorem Extends to λ Connected Plane Continua
• Concerning Non-Aposyndetic Continua
• Topologies on Spaces of Subsets
• Hyperspaces of a Continuum
• Wild 0-dimensional sets and the fundamental group

This page was built for publication: The set functions \(\mathcal{K}\) and \(\mathcal{T}\) and the property of Kelley