Atriodic tree-like continua as inverse limits on \([0,1]\) with interval-valued functions

DOI10.1016/J.TOPOL.2021.107997zbMath1486.54043OpenAlexW4206207027MaRDI QIDQ2074376

Marcus Marsh

Publication date: 9 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107997

zbMATH Keywords

chainableinterval-valued functiontree-likeatriodic

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Inverse limits of set-valued functions (54F17)

Cites Work

• Some results about inverse limits with set-valued bonding functions
• Chainability of inverse limits with a single irreducible function on [0, 1]
• The only finite graph that is an inverse limit with a set valued function on \([0,1\) is an arc]
• A partial classification of inverse limits with irreducible functions
• Markov set-valued functions and their inverse limits
• Inverse limits with set-valued functions having graphs that are arcs
• Inverse limits of families of set-valued functions
• Inverse limits with bonding functions whose graphs are arcs
• Snake-like continua
• An Introduction to Inverse Limits with Set-valued Functions
• Dynamical properties of shift maps on inverse limits with a set valued function
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