On dimension and shape of inverse limits with set-valued functions

DOI10.4064/fm233-4-2016zbMath1365.54026OpenAlexW2517732096MaRDI QIDQ2836011

Hisao Kato

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.4064/fm233-4-2016

zbMATH Keywords

shapedimensioninverse limitscontinuacell-likeinverse limits with set-valued functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Dimension theory in general topology (54F45) Shape theory in general topology (54C56)

Related Items (12)

Tree-like continua and dendrites on set-valued inverse limits ⋮ Abstract topological dynamics involving set-valued functions ⋮ An uncountable family of generalized inverse limits spaces homeomorphic to the Gehman dendrite \(G_3\) ⋮ Tree-likeness of inverse limits with set-valued bonding functions ⋮ Topological dynamics of Markov multi-maps of the interval ⋮ Shift maps and their variants on inverse limits with set-valued functions ⋮ Closed subsets of the square whose inverse limit is the Hilbert cube ⋮ On inverse limits with set-valued functions on graphs, dimensionally stepwise spaces and ANRs ⋮ 2-manifolds and inverse limits of set-valued functions on intervals ⋮ Topological entropy on closed sets in \([0,1^2\)] ⋮ Markov-like set-valued functions on intervals and their inverse limits ⋮ Markov-like set-valued functions on finite graphs and their inverse limits

Cites Work

• Inverse limits. From continua to chaos
• On dimension of inverse limits with upper semicontinuous set-valued bonding functions
• Connectedness and Ingram-Mahavier products
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