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Homotopy decomposition of a suspended real toric space

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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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References

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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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Authors and Affiliations

  1. Department of Mathematics, Ajou University, San 5, Woncheondong, Yeongtonggu, Suwon, 443-749, Korea

    Suyoung Choi

  2. Department of Mathematical Sciences, Faculty of Science, Yamaguchi University, 1677-1, Yoshida, Yamaguchi, 753-8512, Japan

    Shizuo Kaji

  3. School of Mathematics, University of Southampton, Southampton, SO17 1BJ, UK

    Stephen Theriault

Authors
  1. Suyoung Choi
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  2. Shizuo Kaji
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  3. Stephen Theriault
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Corresponding author

Correspondence to Shizuo Kaji.

Additional information

In memory of Professor Samuel Gitler.

Suyoung Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2011-0024975). Shizuo Kaji was partially supported by KAKENHI, Grant-in-Aid for Young Scientists (B) 26800043 and JSPS Postdoctoral Fellowships for Research Abroad.

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Choi, S., Kaji, S. & Theriault, S. Homotopy decomposition of a suspended real toric space. Bol. Soc. Mat. Mex. 23, 153–161 (2017). https://doi.org/10.1007/s40590-016-0090-1

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  • DOI: https://doi.org/10.1007/s40590-016-0090-1

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