Mod p decompositions of the loop spaces of compact symmetric spaces

Published 28 Sep 2014 in math.AT | (1409.7958v1)

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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