The Reidemeister trace of an \(n\)-valued map

DOI10.1016/j.topol.2023.108628zbMath1527.55002arXiv2111.08467OpenAlexW3211620472WikidataQ122643776 ScholiaQ122643776MaRDI QIDQ6113241

P. Christopher Staecker

Publication date: 8 August 2023

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

Full work available at URL: https://arxiv.org/abs/2111.08467

zbMATH Keywords

coveringfixed pointindexNielsen numbersimplicial mapsReidemeister trace\(n\)-valued map

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)

Cites Work

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• Lefschetz indices for \(n\)-valued maps
• An averaging formula for Reidemeister traces
• Axioms for the fixed point index of \(n\)-valued maps, and some applications
• An averaging formula for the coincidence Reidemeister trace
• Lifting classes for the fixed point theory of \(n\)-valued maps
• Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds
• Fix-finite approximation of n-valued multifunctions
• 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
• Generalized Lefschetz Numbers
• Averaging formula for Nielsen coincidence numbers

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