Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 6, December 2024
|
|
---|---|---|
Page(s) | 523 - 528 | |
DOI | https://doi.org/10.1051/wujns/2024296523 | |
Published online | 07 January 2025 |
Mathematics
CLC number: O189.22
The Weighted Embedded Homology of Super-Hypergraphs
超超图的加权嵌入同调
Department of Mathematics and Statistics, Cangzhou Normal University, Cangzhou 061000, Hebei, China
Received:
20
December
2023
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.
摘要
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。
Key words: Δ-set / super-hypergraph / weighted embedded homology / pseudo-metric
关键字 : Δ-集 / 超超图 / 加权嵌入同调 / 伪度量
Cite this article: WANG Chong. The Weighted Embedded Homology of Super-Hypergraphs[J]. Wuhan Univ J of Nat Sci, 2024, 29(6): 523-528.
Biography: WANG Chong, female, Professor, research direction: geometry and topology on graphs. E-mail: wangchong_618@163.com
Foundation item: Supported by the Science and Technology Project of Hebei Education Department (ZD2022168) and the Research and Innovation Team of Cangzhou Normal University (cxtdl2304)
© Wuhan University 2024
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