Aspects of the Borsuk-Ulam theorem

DOI10.1007/s11784-013-0130-7zbMath1282.55002OpenAlexW2039191657MaRDI QIDQ395447

Jan Jaworowski, Michael Crabb

Publication date: 29 January 2014

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-013-0130-7

zbMATH Keywords

Borsuk-Ulam theoremmultivalued mapEuler class with compact supportsfibrewise mapSteenrod power

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Equivariant fiber spaces and bundles in algebraic topology (55R91) Set-valued maps in general topology (54C60) Biographies, obituaries, personalia, bibliographies (01A70) Degree, winding number (55M25) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Fibrewise topology (55R70) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (5)

Bisection of measures on spheres and a fixed point theorem ⋮ Topology of the Grünbaum-Hadwiger-Ramos problem for mass assignments ⋮ Borsuk-Ulam theorems for elementary abelian 2-groups ⋮ Morse cohomology in a Hilbert space via the Conley index ⋮ Some remarks on the parametrized Borsuk-Ulam theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The homotopy coincidence index
• Parametrized Borsuk-Ulam theorems
• The topological Tverberg theorem and related topics
• Theorems of Kakutani and Dyson revisited
• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
• A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
• A parametrized version of the Borsuk-Ulam theorem
• Real-Valued Mappings of Spheres
• Sur les ensembles {f'(x)> a}
• On Maps From Spheres to Euclidean Spaces
• Fixed point free involutions and equivariant maps
• The Set of Balanced Orbits of Maps of S 1 and S 3 Actions
• Maps of Stiefel manifolds and a Borsuk–Ulam theorem
• A Continuous Version of the Borsuk-Ulam Theorem
• Parametrized Borsuk-Ulam Theorems for Multivalued Maps

This page was built for publication: Aspects of the Borsuk-Ulam theorem