Tree-like continua and dendrites on set-valued inverse limits

DOI10.1016/j.topol.2022.108057zbMath1491.54032OpenAlexW4212861640MaRDI QIDQ2131791

Leonardo Juárez-Villa, Isabel Puga-Espinosa

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108057

zbMATH Keywords

continuuminverse limitdendritetree-like continuum

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Inverse limits of set-valued functions (54F17)

Related Items (1)

Tree-likeness of inverse limits with set-valued bonding functions

Cites Work

• The only finite graph that is an inverse limit with a set valued function on \([0,1\) is an arc]
• Inverse limits. From continua to chaos
• Characterizations of tree-like continua
• Local connectedness of inverse limits
• Inverse limits of families of set-valued functions
• On dimension of inverse limits with upper semicontinuous set-valued bonding functions
• Confluent images of tree-like curves are tree-like
• On dimension and shape of inverse limits with set-valued functions
• An Introduction to Inverse Limits with Set-valued Functions
• Clumps of continua
• Curves which are continuous images of tree-like continua are movable
• Multicoherence Techniques Applied to Inverse Limits
• Dendrites with a closed set of end points
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