A Künneth Formula for Finite Sets

Chong Wang; Shiquan Ren; Jian Liu

doi:10.1007/s11401-021-0292-3

Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (6) : 801 -812. DOI: 10.1007/s11401-021-0292-3

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A Künneth Formula for Finite Sets

Chong Wang ¹^,⁴
, Shiquan Ren ²
, Jian Liu ³^,^c

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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.

Keywords

Künneth formula / Finite set / Principal ideal domain / Cartesian product / Free R-module

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Chong Wang, Shiquan Ren, Jian Liu. A Künneth Formula for Finite Sets. Chinese Annals of Mathematics, Series B, 2021, 42(6): 801-812 DOI:10.1007/s11401-021-0292-3