A Künneth Formula for Finite Sets

【Author】

Chong WANG;Shiquan REN;Jian LIU;School of Mathematics, Renmin University of China;Department of Mathematics and Statistics, Cangzhou Normal University;School of Mathematics and Statistics, Henan University;School of Mathematical Sciences, Hebei Normal University;

【Institution】

School of Mathematics, Renmin University of China;Department of Mathematics and Statistics, Cangzhou Normal University;School of Mathematics and Statistics, Henan University;School of Mathematical Sciences, Hebei Normal University;

【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】

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

References

To explore the background and basis of the node document

Springer Journals Database

Total: 3 articles

  • [1] Eric Emtander, Betti Numbers of Hypergraphs, Communications in Algebra,
  • [2] Alexander Grigor’yan;;Yuri Muranov;;Vladimir Vershinin;;Shing-Tung Yau, Path homology theory of multigraphs and quivers, Forum Mathematicum,
  • [3] Stephane Bressan;;Jingyan Li;;Shiquan Ren;;Jie Wu, The embedded homology of hypergraphs and applications, Asian Journal of Mathematics,

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