An Algebraic Proof of the Borsuk-Ulam Theorem for Polynomial Mappings

DOI10.2307/2043802zbMath0496.14015OpenAlexW4239231053MaRDI QIDQ3960942

Manfred Knebusch

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043802

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Fixed points and coincidences in algebraic topology (55M20) Relevant commutative algebra (14A05) Real algebraic and real-analytic geometry (14Pxx)

Related Items (4)

Algebraic vector bundles on the 2-sphere ⋮ Diophantine inequalities and quasi-algebraically closed fields ⋮ Contact structures and Beltrami fields on the torus and the sphere ⋮ Linear spaces on the intersection of cubic hypersurfaces

Cites Work

• Semialgebraic topology over a real closed field. II: Basic theory of semialgebraic spaces
• Levels in algebra and topology

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