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arXiv · 1503.07788

Homotopy decomposition of a suspended real toric space

Suyoung Choi·Shizuo Kaji·Stephen Theriault
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Abstract

We give $p$-local homotopy decompositions of the suspensions of real toric spaces for odd primes $p$. Our decomposition is compatible with the one given by Bahri, Bendersky, Cohen, and Gitler for the suspension of the corresponding real moment-angle complex, or more generally, the polyhedral product. As an application, we obtain a stable rigidity property for real toric spaces.

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Suyoung Choi, Shizuo Kaji, Stephen Theriault. 2015-03-26. Homotopy decomposition of a suspended real toric space. https://doi.org/10.1007/s40590-016-0090-1

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