Borsuk-Ulam type theorems for G-spaces with applications to Tucker type lemmas
Oleg R. Musin, Alexey Yu. Volovikov
TL;DR
This paper generalizes the Borsuk-Ulam theorem for G-spaces and applies these generalizations to Tucker type lemmas, impacting the study of G-simplicial complexes and PL-manifolds.
Contribution
It introduces new generalizations of the Borsuk-Ulam theorem for G-spaces and applies them to Tucker type lemmas in G-simplicial complexes and PL-manifolds.
Findings
Generalized Borsuk-Ulam theorems for G-spaces
Applications to Tucker type lemmas for G-simplicial complexes
Extensions to PL-manifolds
Abstract
In this paper we consider several generalizations of the Borsuk-Ulam theorem for G-spaces and apply these results to Tucker type lemmas for G-simplicial complexes and PL-manifolds.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds