Mod p decompositions of the loop spaces of compact symmetric spaces

Akihiro Ohsita; Shizuo Kaji; Stephen Theriault

arxiv: 1409.7958 · v1 · pith:PHIFDQ7Rnew · submitted 2014-09-28 · 🧮 math.AT

Mod p decompositions of the loop spaces of compact symmetric spaces

Shizuo Kaji , Akihiro Ohsita , Stephen Theriault This is my paper

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keywords spacesloopcompactdecompositionshomotopyspheressymmetricapplication

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We give p-local homotopy decompositions of the loop spaces of compact, simply-connected symmetric spaces for quasi-regular primes. The factors are spheres, sphere bundles over spheres, and their loop spaces. As an application, upper bounds for the homotopy exponents are determined.

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Mod p decompositions of the loop spaces of compact symmetric spaces

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