In this paper,we define the weighted embedded homology of super-hypergraphs,give a quasi-partial order and a pseudo-metric on the set made up of all non-vanishing weights on a finite set,and clarify the relationship b...In this paper,we define the weighted embedded homology of super-hypergraphs,give a quasi-partial order and a pseudo-metric on the set made up of all non-vanishing weights on a finite set,and clarify the relationship between the torsion parts of weighted embedded homology with integer coefficients of super-hypergraphs under certain weights.展开更多
基金Supported by the Science and Technology Project of Hebei Education Department (ZD2022168)the Research and Innovation Team of Cang‐zhou Normal University (cxtdl2304)。
文摘In this paper,we define the weighted embedded homology of super-hypergraphs,give a quasi-partial order and a pseudo-metric on the set made up of all non-vanishing weights on a finite set,and clarify the relationship between the torsion parts of weighted embedded homology with integer coefficients of super-hypergraphs under certain weights.
