重覆盖点对参数的依赖性
Dependence of the heavily covered point on parameters
摘要:
我们研究Gromov的方法,选择一个点“严重覆盖”由一个给定的有限点集形成的单纯形,为了了解依赖的严重覆盖点的参数。我们没有连续依赖,但设法利用重覆盖点的“同调连续依赖”。这使我们能够以通常的方式推断出一些推论。我们也给出了一个基本的参数来证明这些推论中最简单的。
英文摘要:
We examine Gromov's method of selecting a point "heavily covered" by simplices formed by a given finite point sets, in order to understand the dependence of the heavily covered point on parameters. We have no continuous dependence, but manage to utilize the "homological continuous dependence" of the heavily covered point. This allows us to infer some corollaries in a usual way. We also give an elementary argument to prove the simplest of these corollaries.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。