Ważewski's universal dendrite as an inverse limit with one set-valued bonding function

DOI10.3336/gm.48.1.12zbMath1276.54025OpenAlexW2325865309MaRDI QIDQ2843836

Matevž Črepnjak, Iztok Banič, Uroš Milutinović, Matej Merhar, Tina Sovič

Publication date: 26 August 2013

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: http://hrcak.srce.hr/file/151952

zbMATH Keywords

inverse limitsdendritesupper semi-continuous functionscontinuaWażewski's universal dendrite

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (10)

Standard universal dendrite \(D_{m}\) as an inverse limit with one set-valued bonding function ⋮ Closed relations with non-zero entropy that generate no periodic points ⋮ Generic inverse limits with set-valued functions ⋮ The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc ⋮ Closed subsets of the square whose inverse limit is the Hilbert cube ⋮ Dynamical properties of shift maps on inverse limits with a set valued function ⋮ Dendrites on generalized inverse limits and finite Mahavier products ⋮ An uncountable family of upper semicontinuous functions \(F\) such that the graph of \(F\) is homeomorphic to the inverse limit of closed unit intervals with \(F\) as the only bonding function ⋮ Topological entropy on closed sets in \([0,1^2\)] ⋮ Inverse limits with bonding functions whose graphs are arcs

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