Lifting classes for the fixed point theory of \(n\)-valued maps

DOI10.1016/j.topol.2020.107125zbMath1437.55003arXiv1711.02722OpenAlexW3008875687MaRDI QIDQ2307613

Charlotte Deconinck, Robert F. Brown, P. Christopher Staecker, Karel Dekimpe

Publication date: 24 March 2020

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

Full work available at URL: https://arxiv.org/abs/1711.02722

zbMATH Keywords

liftingconfiguration spaceNielsen numbersemidirect productbraid groupuniversal covering spacefixed point classorbit configuration spaceReidemeister number\(n\)-valued mapJiang subgroupcyclic homotopylift-factor

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Covering spaces and low-dimensional topology (57M10) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Fixed points and coincidences in algebraic topology (55M20) Fundamental group, presentations, free differential calculus (57M05)

Related Items (4)

Lift factors for the Nielsen root theory on \(n\)-valued maps ⋮ Nielsen numbers of affine \(n\)-valued maps on nilmanifolds ⋮ The Reidemeister trace of an \(n\)-valued map ⋮ Chaos for Differential Equations with Multivalued Impulses

Cites Work

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• Lefschetz indices for \(n\)-valued maps
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• Coincidences of projections and linear \(n\)-valued maps of tori
• Fixed points of \(n\)-valued maps, the fixed point property and the case of surfaces -- a braid approach
• An index and a Nielsen number for n-valued multifunctions
• Fixed Points of n-Valued Multimaps of the Circle
• Lectures on Nielsen fixed point theory
• On braid groups

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