Finite graphs that are inverse limits with a set valued function on \([0,1]\).

DOI10.1016/J.TOPOL.2011.04.011zbMath1236.54017OpenAlexW1992841291MaRDI QIDQ549145

Van C. Nall

Publication date: 7 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.04.011

zbMATH Keywords

set-valued functionsinverse limitgeneralized inverse limit

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Product spaces in general topology (54B10) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (14)

Closed relations with non-zero entropy that generate no periodic points ⋮ Generic inverse limits with set-valued functions ⋮ The only finite graph that is an inverse limit with a set valued function on \([0,1\) is an arc] ⋮ Shift maps and their variants on inverse limits with set-valued functions ⋮ Inverse limits of set-valued functions indexed by the integers ⋮ 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 ⋮ INVERSE LIMITS IN THE CATEGORY OF COMPACT HAUSDORFF SPACES AND UPPER SEMICONTINUOUS FUNCTIONS ⋮ On the fundamental group of inverse limits ⋮ Dendrites on generalized inverse limits and finite Mahavier products ⋮ Topological entropy on closed sets in \([0,1^2\)] ⋮ Unnamed Item ⋮ Inverse limits with bonding functions whose graphs are arcs ⋮ Inverse limits with generalized Markov interval functions

Cites Work

• Connected generalized inverse limits
• Inverse limits with subsets of \([0,1\times[0,1]\)]
• A circle is not the generalized inverse limit of a subset of [0,1²]
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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