The coincidence Nielsen number on non-orientable manifolds

DOI10.1216/rmjm/1181072611zbMath0787.55003OpenAlexW2072001700MaRDI QIDQ1801923

Jerzy Jezierski, Roman Dobreńko

Publication date: 19 May 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072611

zbMATH Keywords

transversalityindexNielsen classWecken theorem

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) General position and transversality (57N75)

Related Items

The coincidence Nielsen number for covering maps for orientable manifolds ⋮ The covering coincidence index and the covering Nielsen number ⋮ Two, more readily computable equivariant Nielsen numbers I. Nielsen theory for \(\mathbf M\)-ads ⋮ Wecken property for coincidences of boundary-preserving maps between surfaces ⋮ A minimum theorem for epsilon Nielsen coincidences ⋮ Coincidence properties for maps from the torus to the Klein bottle ⋮ Nielsen coincidence theory on infra-solvmanifolds of Sol ⋮ Nielsen type invariants and the location of coincidence sets in positive codimension ⋮ A Nielsen theory for coincidences of iterates ⋮ Axioms for the coincidence index of maps between manifolds of the same dimension ⋮ Averaging formula for Nielsen coincidence numbers ⋮ Nielsen equalizer theory ⋮ Wecken type problems for self-maps of the Klein bottle ⋮ Coincidence classes in nonorientable manifolds ⋮ Groupoids and relations among Reidemeister and among Nielsen numbers ⋮ Minimizing coincidence in positive codimension ⋮ Nielsen coincidence theory in arbitrary codimensions ⋮ Coincidence theory for maps from a complex into a manifold ⋮ Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory ⋮ Coincidence Nielsen numbers for covering maps for smooth manifolds ⋮ The relative covering Nielsen number for coincidences

Cites Work

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• The homotopy theory of coincidences
• The Nielsen product formula for coincidences
• Lectures on Nielsen fixed point theory
• Nielsen Numbers of Maps of Tori
• Differential Topology
• On the generalization of the Nielsen number