Abstract
We give –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.
Citation
Shizuo Kaji. Akihiro Ohsita. Stephen Theriault. "Mod $p$ decompositions of the loop spaces of compact symmetric spaces." Algebr. Geom. Topol. 15 (3) 1771 - 1811, 2015. https://doi.org/10.2140/agt.2015.15.1771
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