Standard universal dendrite \(D_{m}\) as an inverse limit with one set-valued bonding function

DOI10.1016/j.topol.2016.06.006zbMath1350.54025OpenAlexW2428224026MaRDI QIDQ2630458

Matevž Črepnjak, Tina Sovič

Publication date: 27 July 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.06.006

zbMATH Keywords

continuuminverse limitdendriteupper semicontinuous functionuniversal dendrite

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Continua theory in dynamics (37B45)

Related Items (3)

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 ⋮ 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

Cites Work

• Inverse limits with subsets of \([0,1\times[0,1]\)]
• Ważewski's universal dendrite as an inverse limit with one set-valued bonding function
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