The right homotopy shift in the fundamental groups of inverse limits

DOI10.1016/j.topol.2016.05.007zbMath1369.55010OpenAlexW2405706963MaRDI QIDQ290613

Žiga Virk, Aleš Vavpetič

Publication date: 3 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.05.007

zbMATH Keywords

fundamental groupinverse limitsdeforested Peano continuaright homotopy shiftset valued functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Homotopy groups of special spaces (55Q52)

Related Items (2)

The right homotopy shift in the fundamental groups of inverse limits ⋮ Shift maps and their variants on inverse limits with set-valued functions

Cites Work

• Unnamed Item
• The right homotopy shift in the fundamental groups of inverse limits
• The only finite graph that is an inverse limit with a set valued function on \([0,1\) is an arc]
• Deforestation of Peano continua and minimal deformation retracts
• On the fundamental groups of one-dimensional spaces
• An Introduction to Inverse Limits with Set-valued Functions
• A circle is not the generalized inverse limit of a subset of [0,1²]
• Can the Fundamental (Homotopy) Group of a Space be the Rationals?

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