sweepout

English

Noun

sweepout (plural sweepouts)

1. (mathematics) The act or result of sweeping out
   • 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^[1]:

     We use this result to construct a sweepout of $M$ by 1-cycles of length at most $Cvol(M^{3},g)^{1/3}$ and prove a systolic inequality for all $M\neq S^{3}$. The sweepout of surfaces is generated from a min-max minimal surface.

Anagrams

• outsweep, outweeps