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5 Result(s)

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  1. No Access

    Article

    Discrete Differential Calculus on Simplicial Complexes and Constrained Homology

    Let V be a finite set. Let \({\cal K}\) K be a simplicial complex with its ...

    Shiquan Ren in Chinese Annals of Mathematics, Series B (2023)

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    Article

    A Künneth Formula for Finite Sets

    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 i...

    Chong Wang, Shiquan Ren, Jian Liu in Chinese Annals of Mathematics, Series B (2021)

  3. No Access

    Article

    Computational Tools in Weighted Persistent Homology

    In this paper, the authors study further properties and applications of weighted homology and persistent homology. The Mayer-Vietoris sequence and generalized Bockstein spectral sequence for weighted homology ...

    Shiquan Ren, Chengyuan Wu, Jie Wu in Chinese Annals of Mathematics, Series B (2021)

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    Article

    Weighted Fundamental Group

    In this paper, we develop and study the theory of weighted fundamental groups of weighted simplicial complexes. When all weights are 1, the weighted fundamental group reduces to the usual fundamental group as ...

    Chengyuan Wu, Shiquan Ren, Jie Wu, Kelin **a in Bulletin of the Malaysian Mathematical Sci… (2020)

  5. No Access

    Article

    Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator

    In this paper we classify the real hypersurfaces in a non-flat complex space form with its structure Jacobi operator R ξ satisfying (∇ X ...

    S. H. Kon, Tee-How Loo, Shiquan Ren in Mathematica Slovaca (2014)