The homotopy coincidence index

DOI10.1007/s11784-010-0006-zzbMath1205.55002OpenAlexW2047717863MaRDI QIDQ626508

Michael Crabb

Publication date: 18 February 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-010-0006-z

zbMATH Keywords

Euler classcoincidence index

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Stable homotopy theory, spectra (55P42) Obstruction theory in algebraic topology (55S35) Fixed points and coincidences in algebraic topology (55M20) Fibrewise topology (55R70) Algebraic topology on manifolds and differential topology (57R19)

Related Items (9)

Coincidence invariants and higher Reidemeister traces ⋮ Aspects of the Borsuk-Ulam theorem ⋮ The geometric Hopf invariant and double points ⋮ The topological Tverberg theorem and related topics ⋮ Kervaire invariants and selfcoincidences ⋮ Minimum numbers and Wecken theorems in topological coincidence theory. I ⋮ Lefschetz indices for \(n\)-valued maps ⋮ Fixed-orbit indices. I ⋮ Nielsen numbers in topological coincidence theory

Cites Work

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• Equivariant fixed-point indices of iterated maps
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• Relative fixed point theory
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• Self-coincidence numbers and the fundamental group
• Homotopical intersection theory. I
• Obstruction theory and coincidences of maps between nilmanifolds
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• Nonstabilized Nielsen coincidence invariants and Hopf-Ganea homomorphisms
• One-parameter Fixed Point Theory
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• Bordism Invariants of Intersections of Submanifolds
• Linking and coincidence invariants
• Selfcoincidences in higher codimensions
• LOOP HOMOLOGY AS FIBREWISE HOMOLOGY

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