The Borsuk-Ulam Theorem for n-valued maps between surfaces

In this work we analysed the validity of a type of Borsuk-Ulam theorem for multimaps between surfaces. We developed an algebraic technique involving braid groups to study this problem for n -valued maps. As a first application we described when the Borsuk-Ulam theorem holds for split and non-split m...

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Veröffentlicht in:	Geometriae dedicata 2024-04, Vol.218 (2), Article 41
Hauptverfasser:	Casteluber Laass, Vinicius, de Miranda e Pereiro, Carolina
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic Geometry Braid theory Convex and Discrete Geometry Differential Geometry Euclidean geometry Homology Hyperbolic Geometry Mathematics Mathematics and Statistics Original Paper Projective Geometry Theorems Topology
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