摘要
超图的嵌入同调和有向图的道路同调可以被Δ-集分次子集的嵌入同调统一.受此启发给出了Δ-集分次子集的霍奇理论和代数离散莫尔斯定理.
The embedded homology groups of hypergraphs and the path homology groups of digraphs can be unified as the embedded homology groups of graded subsets of Δ-sets.Inspired by this,in this paper,we give the Hodge theory and algebraic discrete Morse theory of the graded subsets ofΔ-sets.
作者
王冲
任世全
Wang Chong;Ren Shiquan(School of Mathematics and Statistics,Cangzhou Normal University,Cangzhou 061000,Chimi;School of Mathematics,RenminUniversity of China,Beijing 100872,Chimi;Yau Mathematical Sciences Center,Tsinghua University,Beijing 100084,China)
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2021年第5期7-13,共7页
Acta Scientiarum Naturalium Universitatis Nankaiensis
基金
Supported by the Science and Technology Project of Hebei Education Department(QN2019333)
the Natural Fund of Cangzhou Science and Technology Bureau(197000002)
Project of Cangzhou Normal University(xnjjl1902)
NSFC(12001310)。
关键词
Δ-集
嵌入同调
霍奇同构定理
霍奇分解定理
离散莫尔斯定理
Δ-sets
embedded homology
Hodge isomorphism theorem
Hodge decomposition theorem
discrete Morse theory
