A New and Constructive Proof of the Borsuk-Ulam Theorem

DOI10.2307/2042898zbMath0397.55004OpenAlexW4243129867MaRDI QIDQ4180975

Alden H. Wright, Mark D. Meyerson

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042898

zbMATH Keywords

Borsuk-Ulam TheoremHam Sandwich TheoremFixed-Point TheoryInvariance of DomainPiecewise Linear Borsuk-Ulam Theorem

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) PL-topology (57Q99)

Related Items

A constructive proof of Tucker's combinatorial lemma, Algorithms for finding connected separators between antipodal points, Borsuk-Ulam type theorems for manifolds

Cites Work

• The Solution of Systems of Piecewise Linear Equations
• Drei Sätze über die n-dimensionale euklidische Sphäre
• Eine freie Abbildung der n‐dimensionalen Sphäre in die Ebene