The Weighted Embedded Homology of Super-Hypergraphs  

超超图的加权嵌入同调

作　　者：WANG Chong 王冲(沧州师范学院数学与统计系,河北沧州061000)

机构地区：[1]Department of Mathematics and Statistics,Cangzhou Normal University,Cangzhou 061000,Hebei,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第6期523-528,共6页武汉大学学报(自然科学英文版)

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)。

摘　　要：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.本文定义了超超图的加权嵌入同调,给出了有限集上所有非退化权重做成的集合上的一个拟偏序和一个伪度量,并阐明了在一定权重下超超图整数系数加权嵌入同调群的挠部之间的关系。

关 键 词：△-set super-hypergraph weighted embedded homology PSEUDO-METRIC 

分 类 号：O189.22[理学—数学]