Nielsen theory of roots of maps of pairs

DOI10.1016/S0166-8641(97)00248-4zbMath1007.55001MaRDI QIDQ1292728

Helga Schirmer, Robert F. Brown

Publication date: 26 March 2003

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

zbMATH Keywords

degreeNielsen numberrelative rootrelatively essential

Mathematics Subject Classification ID

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

Related Items (4)

Relative preimage problem ⋮ On multiplicity of maps ⋮ Nielsen type invariants and the location of coincidence sets in positive codimension ⋮ Minimizing coincidence in positive codimension

Cites Work

• A relative Nielsen number
• The degree of a map between surfaces
• Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary
• Smooth realizations of relative Nielsen numbers
• Roots of iterates of maps
• Correction to Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary
• Nielsen numbers for roots of maps of aspherical manifolds
• Corrections to "On Changing Fixed Points and Coincidences to Roots"
• Certain Subgroups of the Fundamental Group and the Number of Roots of f(x) = a
• Differential Topology
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• The Nielsen coincidence theory on topological manifolds
• On the root classes of mapping
• On the sharpness of the ∆2 and ∆1 Nielsen numbers.
• Pontryagin Duality in K-Theory
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