On a property of functions on the sphere and its application

DOI10.1016/j.na.2010.07.019zbMath1202.55001OpenAlexW2051624912MaRDI QIDQ708672

Yu-Hong Liu

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.07.019

zbMATH Keywords

rotationmapping degreeKnaster's problemequivariant mapping

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Fixed points and coincidences in algebraic topology (55M20)

Related Items

Some mapping theorems for continuous functions defined on the sphere

Cites Work

• Continuous functions from spheres to Euclidean spaces
• Knaster's problem on continuous maps of a sphere into Euclidean space
• Solution of the Knaster problem for polynomials of second degree on the two-dimensional sphere
• The Knaster problem and the geometry of high-dimensional cubes
• The Knaster problem: more counterexamples
• On a property of functions on a sphere
• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
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