Let γ be a 1-cycle (linear combination of closed curves). Then γ is called a boundary of an open set GC if nγ(a)= 1;;1 for each aG and nγ(a)= 1;;0 for aC(Gim(γ)).

Remark

We may rephrase Cauchy's Theorem, Cauchy's integral formula, and residue theorem in terms of cycles.

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