基于超图范畴积的同伦和Hom-构造
Homotopy and Hom-Construction Based on Categorical Product of Hypergraphs
张丛磊 1赵彦 2张志国3
作者信息
- 1. 山西农业大学基础部,山西晋中 030801
- 2. 河北地质大学数理教学部,河北石家庄 050031
- 3. 山西师范大学数学与计算机科学学院,山西太原 030031
- 折叠
摘要
基于超图范畴积引入了一类Hom-构造,并证明了范畴积运算在相应的Hom-构造下的相互作用良好.接着讨论了该Hom-构造与丘成桐先生等定义的超图同态同伦的关系,从拓扑的角度给出了丘成桐等人定义的超图同态同伦的必要条件.
Abstract
A Hom-construction associated to the categorical product of hypergraphs is introduced.It's shown that the categorical product operation interacts well with corresponding Hom-constructions.Then the relations between Hom-construction and the homotopy of hypergraph homomorphisms defined by Shing-Tung Yau et al are studied.A necessary condition of the homotopy of hypergraph homomorphisms from the view of topology is provided.
关键词
拓扑同伦/Hom-构造/超图同态同伦/超图的范畴积/强形变收缩核Key words
topological homotopy/Hom-construction/homotopy of hypergraph homomorphisms/categorical product of hypergraphs/strong deformation retract引用本文复制引用
出版年
2024
NETL
NSTL
万方数据