The Borsuk-Ulam theorem for planar polygon spaces

DOI10.1016/j.topol.2022.108204zbMath1496.55002arXiv2111.12033OpenAlexW3217359499WikidataQ113862537 ScholiaQ113862537MaRDI QIDQ2165567

Priyavrat Deshpande, Shuchita Goyal, Navnath Daundkar, Anurag Singh

Publication date: 20 August 2022

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

Full work available at URL: https://arxiv.org/abs/2111.12033

zbMATH Keywords

Stiefel-Whitney classplanar polygon spaces\(\mathbb{Z }_2\)-coindex\(\mathbb{Z }_2\)-indexfree \(\mathbb{Z}_2\)-spacetidy spaces

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Classification of homotopy type (55P15) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Fixed points and coincidences in algebraic topology (55M20) Immersions in differential topology (57R42)

Cites Work

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• Embedded spheres in \(S^2 \times S^1\# \cdots \# S^2 \times S^1\)
• Invitation to topological robotics
• The cohomology ring of polygon spaces
• Manifold properties of planar polygon spaces
• Moduli space of a planar polygonal linkage: a combinatorial description
• The height of a class in the cohomology ring of polygon spaces
• Borsuk-Ulam type theorems for manifolds
• On the cohomology classes of planar polygon spaces
• The Space of Clouds in Euclidean Space
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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