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Setwise Homotopy Category

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Abstract

We introduce the setwise homotopy relation and prove that two chain maps induce the same cohomology map if and only if they are setwise homotopic.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Ning Bian, Pu Zhang & Guang-Lian Zhang

Authors
  1. Ning Bian
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  2. Pu Zhang
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  3. Guang-Lian Zhang
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Corresponding author

Correspondence to Pu Zhang.

Additional information

The corresponding author. Supported by the National Natural Science Foundation of China and of Shanghai City (Grant No. 10725104, 10771112 and ZR0614049).

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Bian, N., Zhang, P. & Zhang, GL. Setwise Homotopy Category. Appl Categor Struct 17, 561–565 (2009). https://doi.org/10.1007/s10485-008-9154-3

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  • DOI: https://doi.org/10.1007/s10485-008-9154-3

Keywords

Mathematics Subject Classifications (2000)

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