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- Title
Discrete Differential Calculus on Simplicial Complexes and Constrained Homology.
- Authors
Ren, Shiquan
- Abstract
Let V be a finite set. Let K be a simplicial complex with its vertices in V. In this paper, the author discusses some differential calculus on V. He constructs some constrained homology groups of K by using the differential calculus on V. Moreover, he defines an independence hypergraph to be the complement of a simplicial complex in the complete hypergraph on V. Let ℒ be an independence hypergraph with its vertices in V. He constructs some constrained cohomology groups of ℒ by using the differential calculus on V.
- Subjects
DIFFERENTIAL calculus; HYPERGRAPHS
- Publication
Chinese Annals of Mathematics, 2023, Vol 44, Issue 4, p615
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-023-0035-8