Maps of Stiefel manifolds and a Borsuk–Ulam theorem

DOI10.1017/S0013091500028674zbMath0647.55006MaRDI QIDQ3791887

Jan Jaworowski

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Borsuk-Ulam-Yang theoremindex of a G-spacemaps of Stiefel manifolds into the spaces of m-tuples of vectors

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Compact Lie groups of differentiable transformations (57S15) Equivariant homology and cohomology in algebraic topology (55N91) Fixed points and coincidences in algebraic topology (55M20)

Related Items (6)

On a Borsuk-Ulam theorem for Stiefel manifolds ⋮ Aspects of the Borsuk-Ulam theorem ⋮ Equivariant maps between complex Stiefel manifolds ⋮ The index of free circle actions in lens spaces ⋮ The degree of equivariant maps ⋮ Measuring the size of the coincidence set

Cites Work

• Unnamed Item
• Sur la topologie de certains espaces homogenes
• On the multiplication in the characteristic ring of a sphere bundle
• La cohomologie \(\mod 2\) de certains espaces homogènes
• The Set of Balanced Orbits of Maps of S 1 and S 3 Actions
• On the Cohomology of Real Grassmanians
• A Continuous Version of the Borsuk-Ulam Theorem
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications

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