A topological proof of the Bott periodicity theorems

DOI10.1007/BF02415354zbMath0129.15501MaRDI QIDQ2394899

Richard K. Lashof, Eldon Dyer

Publication date: 1961

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

topology

Related Items (6)

Explicit construction of nontrivial elements for homotopy groups of classical Lie groups ⋮ Homology of the classical groups over the Dyer-Lashof algebra ⋮ On the uniqueness of Dyer-Lashof operations on the Bott periodicity spaces ⋮ Michael Atiyah’s work in algebraic topology ⋮ The periodicity theorem for the classical groups and some of its applications ⋮ On the spaces O(4n)/Sp and Sp(n)/O, and the Bott maps

Cites Work

• The space of loops on a Lie group
• The stable homotopy of the classical groups
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• La cohomologie \(\mod 2\) de certains espaces homogènes
• Quelques remarques sur les théorèmes de périodicité
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