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A Künneth Formula for Finite Sets

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Abstract

In this paper, the authors define the homology of sets, which comes from and contains the ideas of path homology and embedded homology. Moreover, A Künneth formula for sets associated to the homology of sets is given.

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Acknowledgement

The authors would like to thank Prof. Yong Lin and Prof. Jie Wu for their supports, discussions and encouragements. The authors also would like to express their deep gratitude to the reviewer(s) for their careful reading, valuable comments and helpful suggestions.

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Authors and Affiliations

  1. School of Mathematics, Renmin University of China, Beijing, 100872, China

    Chong Wang

  2. School of Mathematics and Statistics, Henan University, Kaifeng, Henan, 475001, China

    Shiquan Ren

  3. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, 050024, China

    Jian Liu

  4. Department of Mathematics and Statistics, Cangzhou Normal University, Cangzhou, Hebei, 061000, China

    Chong Wang

Authors
  1. Chong Wang
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  2. Shiquan Ren
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  3. Jian Liu
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Corresponding author

Correspondence to Jian Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 12001310), Science and Technology Project of Hebei Education Department (No. QN2019333), the Natural Fund of Cangzhou Science and Technology Bureau (No. 197000002) and a Project of Cangzhou Normal University (No. xnjjl1902), China Postdoctoral Science Foundation (No. 2020M680494).

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Wang, C., Ren, S. & Liu, J. A Künneth Formula for Finite Sets. Chin. Ann. Math. Ser. B 42, 801–812 (2021). https://doi.org/10.1007/s11401-021-0292-3

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  • DOI: https://doi.org/10.1007/s11401-021-0292-3

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