A K¨unneth Formula for Finite Sets*

Citation:

Chong WANG,Shiquan REN,Jian LIU.A K¨unneth Formula for Finite Sets*[J].Chinese Annals of Mathematics B,2021,42(6):801~812
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Authors:

Chong WANG; Shiquan REN;Jian LIU

Foundation:

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).
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 K¨unneth formula for sets associated to the homology of sets is given.

Keywords:

K¨unneth formula, Finite set, Principal ideal domain, Cartesian product,Free R-module

Classification:

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