Real-Valued Mappings of Spheres

DOI10.2307/2033116zbMath0067.40702OpenAlexW4237095888MaRDI QIDQ3229083

E. E. Floyd

Publication date: 1955

Full work available at URL: https://doi.org/10.2307/2033116

zbMATH Keywords

topology

Related Items (17)

Inscribing cubes and covering by rhombic dodecahedra via equivariant topology ⋮ Properties of continuous functions on a normed space and its sphere ⋮ Aspects of the Borsuk-Ulam theorem ⋮ Some mapping theorems for continuous functions defined on the sphere ⋮ The Knaster problem and the geometry of high-dimensional cubes ⋮ Knaster's problem on continuous maps of a sphere into Euclidean space ⋮ Unnamed Item ⋮ Algorithms for finding connected separators between antipodal points ⋮ Suborbits in Knaster's problem ⋮ Dvoretzky type theorems for multivariate polynomials and sections of convex bodies ⋮ The Knaster problem: more counterexamples ⋮ Inscribed and circumscribed polyhedra for a convex body and continuous functions on a sphere in Euclidean space ⋮ Knaster's problem for \((\mathbb Z _{2})^{k }\)-symmetric subsets of the sphere \(S^{2^{k}-1}\) ⋮ Approximation of convex sets by polytopes ⋮ Mathematical table-turning revisited. ⋮ Spazi con operatori e applicazioni al problema di Knaster ⋮ Inscribed and circumscribed polyhedra of a convex body and related problems

Cites Work

• Continuous functions defined on spheres
• On a theorem of F. J. Dyson
• A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
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