Smocked Metric Spaces and Their Tangent Cones

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
{"title":"Smocked Metric Spaces and Their Tangent Cones","authors":"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","doi":"10.35834/2021/3301027","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2019-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Missouri Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35834/2021/3301027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2

Abstract

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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Smocked度量空间及其切锥
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。
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
0.90
自引率
0.00%
发文量
9
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.
期刊最新文献
On Interval Valued fuzzy Bi-Quasi Ideals in Semigroups Generating the Group of Nonzero Elements Of a Quadratic Extension Of Fp $e^{*}$-Lifting Modules CHARACTERIZATION OF TRI-QUASI IDEALS AND THEIR FUZZIFICATIONS IN ORDERED SEMIRINGS A Diceless Game of the Classic and Finite Hyper Dice Backgammon: A New Class of Partizan Combinatorial Games
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1