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Boletín de la Sociedad Matemática Mexicana

, Volume 23, Issue 1, pp 153–161 | Cite as

Homotopy decomposition of a suspended real toric space

  • Suyoung Choi
  • Shizuo Kaji
  • Stephen Theriault
Original Article

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.

Keywords

Homotopy decomposition Real toric manifold Real toric spaces 

Mathematics Subject Classification

Primary 55P15 Secondary 57S17 

Notes

Acknowledgments

The authors would like to thank Daisuke Kishimoto for pointing out an error in an earlier version of the paper.

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Copyright information

© Sociedad Matemática Mexicana 2016

Authors and Affiliations

  1. 1.Department of MathematicsAjou UniversityYeongtongguKorea
  2. 2.Department of Mathematical Sciences, Faculty of ScienceYamaguchi UniversityYamaguchiJapan
  3. 3.School of MathematicsUniversity of SouthamptonSouthamptonUK

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