Definition. nn-th homology [7XRX]

2026-10-04 · Lîm Tsú-thuàn

The nn-th homology group of a chain complexDefinitionChain complex2026-10-04 · Lîm Tsú-thuàn (C∙,∂∙)(C_\bullet, \partial_\bullet) is the RR-module

Hn(C∙):=ker⁡∂n/im⁡∂n+1H_n(C_\bullet) := \ker \partial_n / \operatorname{im} \partial_{n+1}