The fixed point set of an involution and theorems of the Borsuk-Ulam type

DOI10.3792/pja/1195518828zbMath0301.57021OpenAlexW2009422773MaRDI QIDQ4056751

Akio Hattori

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518828

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30) Algebraic topology of manifolds (57N65) Differential topological aspects of diffeomorphisms (57R50) Compact groups of homeomorphisms (57S10) Homology with local coefficients, equivariant cohomology (55N25)

Cites Work

• Continuous maps of manifolds with involution. I
• Continuous maps of manifolds with involution. II
• Characteristic classes with values in complex cobordism
• Steenrod-Operationen in Kobordismen-Theorien
• Elementary proofs of some results of cobordism theory using Steenrod operations
• Lokalisierung äquivarianter Kohomologie-Theorien. (Localization of equivariant cohomology theories.)

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