英和和英

発音

名詞

sweepout ‎(複数形 sweepouts)

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