Minimizing the Nielsen root classes for maps between \(CW\)-complexes and manifolds of the same dimension \(\geq 3\)

DOI10.1016/j.topol.2012.08.026zbMath1260.55001OpenAlexW2062857006MaRDI QIDQ694671

Claudemir Aniz

Publication date: 13 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.08.026

zbMATH Keywords

obstruction\(CW\)-complexNielsen root class

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• Minimal Nielsen root classes and roots of liftings
• Coincidence theory for maps from a complex into a manifold
• The minimizing of the Nielsen root classes
• Obstruction theory and minimal number of coincidences for maps from a complex into a manifold
• A Van Kampen type theorem for coincidences
• On removing coincidences of two maps when only one, rather than both, of them may be deformed by a homotopy
• Mindestzahlen von Koinzidenzpunkten.
• On the sharpness of the ∆2 and ∆1 Nielsen numbers.

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