On inverse limits with set-valued functions on graphs, dimensionally stepwise spaces and ANRs

DOI10.1016/J.TOPOL.2017.04.022zbMath1369.54021OpenAlexW2607662663MaRDI QIDQ530195

Masatoshi Hiraki, Hisao Kato

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.04.022

zbMATH Keywords

shapedimensiondendriteinverse limitsANRcontinuacell-likeFARinverse limits with set-valued functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Dimension theory in general topology (54F45) Shape theory in general topology (54C56)

Related Items (1)

Menger curve as inverse limit

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
• Inverse limits with subsets of \([0,1\times[0,1]\)]
• On dimension of inverse limits with upper semicontinuous set-valued bonding functions
• Connectedness and Ingram-Mahavier products
• On dimension and shape of inverse limits with set-valued functions
• A circle is not the generalized inverse limit of a subset of [0,1²]
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