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arXiv · 1409.7958

Mod p decompositions of the loop spaces of compact symmetric spaces

Shizuo Kaji·Akihiro Ohsita·Stephen Theriault
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Abstract

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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Shizuo Kaji, Akihiro Ohsita, Stephen Theriault. 2014-09-28. Mod p decompositions of the loop spaces of compact symmetric spaces. https://doi.org/10.2140/agt.2015.15.1771

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