Smocked度量空间及其切锥

IF 0.4 Q4 MATHEMATICS

Missouri Journal of Mathematical Sciences Pub Date : 2019-06-08 DOI:10.35834/2021/3301027

C. Sormani, Demetre Kazaras, David Afrifa, Victoria Antonetti, M. Dinowitz, H. Drillick, M. Farahzad, Shanell George, Aleah Lydeatte Hepburn, Leslie Trang Huynh, Emilio Minichiello, Julinda Mujo Pillati, Srivishnupreeth Rendla, A. Yamin

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引用次数: 2

摘要

我们引入了罩衣度量空间的概念，并探讨了不同罩衣空间集合中的球和测地线。我们找到了它们的重新标度的Gromov-Hausdorff极限，并证明了这些切锥在无穷远处存在，是唯一的，并且是赋范空间。我们以适合高年级本科生、硕士生和博士生的各种开放性问题结束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Smocked Metric Spaces and Their Tangent Cones

We introduce the notion of a smocked metric spaces and explore the balls and geodesics in a collection of different smocked spaces. We find their rescaled Gromov-Hausdorff limits and prove these tangent cones at infinity exist, are unique, and are normed spaces. We close with a variety of open questions suitable for advanced undergraduates, masters students, and doctoral students.

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来源期刊

Missouri Journal of Mathematical Sciences MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.