Homotopy decomposition of a suspended real toric space

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.

The paper has been slightly generalized from the published version in Bol. Soc. Mat. Mex

Cited by in corpus (2)

• The cohomology rings of real toric spaces and smooth real toric varieties
• Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices