Mod p decompositions of the loop spaces of compact symmetric spaces

作者：Kaji Shizuo^*; Ohsita Akihiro; Theriault Stephen

来源：Algebraic and Geometric Topology, 2015, 15(3): 1771-1811.

DOI：10.2140/agt.2015.15.1771

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.

• 出版日期2015