Nielsen fixed point theory for split \(n\)-valued maps on the Klein bottle

DOI10.1016/j.topol.2024.109085MaRDI QIDQ6659424

Daciberg Lima Gonçalves, Daniel Vendrúscolo, Bartira Maués

Publication date: 9 January 2025

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

zbMATH Keywords

braidsNielsen numberKlein bottlemultivalued mapwecken property

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

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• Fixed points and braids
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• Fixed points and braids. II
• Lower central and derived series of semi-direct products, and applications to surface braid groups
• The 2-sphere is Wecken for \(n\)-valued maps
• Wecken type problems for self-maps of the Klein bottle
• Fix-finite approximation of n-valued multifunctions
• An index and a Nielsen number for n-valued multifunctions
• Fixed Points of n-Valued Multimaps of the Circle
• COMPUTATION OF THE NIELSEN TYPE NUMBERS FOR MAPS ON THE KLEIN BOTTLE
• A minimum theorem for n-valued multifunctions
• Configuration Spaces.
• The Braid Groups.

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