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

DOI10.1016/J.TOPOL.2018.11.025zbMath1423.54043OpenAlexW2902261715WikidataQ128844647 ScholiaQ128844647MaRDI QIDQ1755430

Boštjan Lemež

Publication date: 9 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.025

zbMATH Keywords

inverse limitscontinuaupper semicontinuous functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topological characterizations of particular spaces (54F65) Product spaces in general topology (54B10) Basic constructions in general topology (54B99) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (2)

The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc ⋮ An uncountable family of generalized inverse limits spaces homeomorphic to the Gehman dendrite \(G_3\)

Cites Work

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• Standard universal dendrite \(D_{m}\) as an inverse limit with one set-valued bonding function
• Ważewski's universal dendrite as an inverse limit with one set-valued bonding function
• An Introduction to Inverse Limits with Set-valued Functions
• Continua Whose Cone and Hyperspace are Homeomorphic

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