The three faces of Nielsen: Coincidences, intersections and preimages

DOI10.1016/S0166-8641(99)00005-XzbMath0951.55005OpenAlexW2057090985MaRDI QIDQ1567310

Christopher K. McCord

Publication date: 18 December 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00005-x

zbMATH Keywords

rootsintersectionsNielsen numbers

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Related Items (8)

On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory ⋮ Preimage homomorphism indices of preimage classes ⋮ Relative preimage problem ⋮ Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case ⋮ Nielsen coincidence, fixed point and root theories of \(n\)-valued maps ⋮ Knot invariants coming from pre-image indices ⋮ More general averaging formulae for preimage classes ⋮ The Reidemeister numbers and the Hirsch ranks for preimage subgroups

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