A survey of homotopy theory

DOI10.1016/0001-8708(73)90124-2zbMath0262.55012OpenAlexW2082329937MaRDI QIDQ2561045

Hirosi Toda

Publication date: 1973

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(73)90124-2

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Homotopy groups, general; sets of homotopy classes (55Q05) Eilenberg-Mac Lane spaces (55P20) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Secondary and higher cohomology operations in algebraic topology (55S20) Cohomotopy groups (55Q55)

Related Items (5)

Unnamed Item ⋮ Homotopy type of gauge groups of SU(3)-bundles over S\(^{6}\) ⋮ On degree of simplicial homomorphisms between link groups ⋮ Line bundles over framed manifolds ⋮ Das Bild des Hurewicz-Homomorphismus \(h:\pi^s_*(B\mathbb{Z}_p)\to K_*(B\mathbb{Z}_p)\)

Cites Work

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• Secondary operations on mappings and cohomology
• The stable homotopy of the classical groups
• An application of functional higher operation
• On adding relations to homotopy groups
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• Reduced product spaces
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• On the mod $p$ Hopf invariant
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• A topological proof of theorems of Bott and Borel-Hirzeburch for homotopy groups of unitary groups
• The factorization of cyclic reduced powers by secondary cohomology operations
• Functional Cohomology Operations
• Combinatorial homotopy. I
• Cyclic Reduced Powers of Cohomology Classes
• On Join Operations in Homotopy Groups
• Track Groups (II)
• Vector fields on spheres
• A generalization of the Hopf invariant

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