Refinable maps in the theory of shape

DOI10.4064/fm-113-2-119-129zbMath0868.54032OpenAlexW289661259MaRDI QIDQ4882378

Hisao Kato

Publication date: 4 August 1997

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/212111

zbMATH Keywords

hyperspaceexpansive homeomorphismchainable continuumpseudo-archereditarily indecomposable continuum

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Special maps on metric spaces (54E40) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (16)

Infinite minimal sets of continuum-wise expansive homeomorphisms of 1-dimensional compacta ⋮ The nonexistence of expansive polycyclic group actions on the circle 𝕊¹ ⋮ Tree-like continua do not admit expansive homeomorphisms ⋮ The nonexistence of expansive \(\mathbb Z^n\) actions on Peano continua that contain no \(\theta\)-curves ⋮ The nonexistence of sensitive commutative group actions on dendrites ⋮ Sensitive group actions on regular curves of almost \(\leq n\) order ⋮ Open problems in topology. ⋮ The nonexistence of sensitive commutative group actions on graphs ⋮ The nonexistence of expansive commutative group actions on Peano continua having free dendrites ⋮ Shadowing is generic on various one-dimensional continua with a special geometric structure ⋮ Recent progress of general topology in Japan ⋮ The Nonexistence of Expansive \(\mathbb Z^d\) actions on graphs ⋮ Topological entropy and IE-tuples of indecomposable continua ⋮ Chaotic continua in chaotic dynamical systems ⋮ Monotone maps of 𝐺-like continua with positive topological entropy yield indecomposability ⋮ Expansive homeomorphisms and indecomposable subcontinua

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