Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary

DOI10.1016/0166-8641(92)90040-7zbMath0757.55002OpenAlexW2071375636MaRDI QIDQ1191875

Helga Schirmer, Robert F. Brown

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90040-7

zbMATH Keywords

Lefschetz numbercoincidence indexNielsen coincidence number

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Topological manifolds (57N99)

Related Items (10)

Correction to Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary ⋮ Wecken property for coincidences of boundary-preserving maps between surfaces ⋮ Coincidence theorems and its applications to equilibrium problems ⋮ Minimum numbers and Wecken theorems in topological coincidence theory. I ⋮ Nielsen coincidence numbers, Hopf invariants and spherical space forms ⋮ A minimum theorem for epsilon Nielsen coincidences ⋮ Nielsen numbers in topological coincidence theory ⋮ Lefschetz coincidence theory for maps between spaces of different dimensions ⋮ Nonstabilized Nielsen coincidence invariants and Hopf-Ganea homomorphisms ⋮ Nielsen theory of roots of maps of pairs

Cites Work

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• Coincidence Lefschetz numbers for a pair of fibre preserving maps
• Coincidence theory for manifolds with boundary
• A general coincidence theory
• The Nielsen fixed point theory for noncompact spaces
• Corrections to "On Changing Fixed Points and Coincidences to Roots"
• Mindestzahlen von Koinzidenzpunkten.
• On the Product and Composition of Universal Mappings of Manifolds Into Cubes
• A Brouwer Type Coincidence Theorem
• Coincidence Producing Maps Onto Trees
• Universality of the product mappings onto products of In and snake-like spaces
• Boundaries of ULC Sets in Euclidean n-Space

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