同伦型不变量 homotopy type invariant
Simplicial homology group is a topological invariant,and is also a homotopy type invariant. It means that if two topological spaces are homotopically equivalent but not homeomorphic,their simplicial homology groups of the same dimension are isomorphic.
单纯同调群是拓扑不变量,也是伦型不变量,也就是说如果两个拓扑空间同伦等价而不同胚,那么它们的各维同调群同构,就不能用同调群来区别这两个空间。
参考来源 - 单纯复形三角剖分导出的网络及其与不变量的关系的研究·2,447,543篇论文数据,部分数据来源于NoteExpress
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