Ctrl
K
Select a result to preview
Let γ be a 1-cycle (linear combination of closed curves). Then γ is called a boundary of an open set G⊆C if nγ(a)= 1;;1 for each a∈G and nγ(a)= 1;;0 for a∈C−(G⋃im(γ)).
We may rephrase Cauchy's Theorem, Cauchy's integral formula, and residue theorem in terms of cycles.