sweepout

plural sweepouts

1. mathematicsThe act or result of sweeping out

   We use this result to construct a sweepout of M by 1-cycles of length at most Cvol(M³,g)#123;1#47;3#125; and prove a systolic inequality for all M#92;neqS³. The sweepout of surfaces is generated from a min-max minimal surface.

   2015, Yevgeny Liokumovich, Xin Zhou, “Sweeping out 3-manifold of positive Ricci curvature by short 1-cycles via estimates of min-max surfaces”, in arXiv