Two infinite versions of the nonlinear dvoretzky theorem

Kei Funano

doi:10.2140/pjm.2012.259.101

Two infinite versions of the nonlinear dvoretzky theorem

Kei Funano

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We make two additions to recent results of Mendel and Naor on nonlinear versions of Dvoretzky's theorem. We consider the cases of metric spaces with infinite Hausdorff dimension and countably infinite metric spaces.

Original language	English
Pages (from-to)	101-108
Number of pages	8
Journal	Pacific Journal of Mathematics
Volume	259
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2012.259.101
Publication status	Published - 2012
Externally published	Yes

Keywords

Dvoretzky's theorem
Ultrametric space

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.2140/pjm.2012.259.101

Cite this

@article{9af836c8249f40c8984e11160bf5d2a1,

title = "Two infinite versions of the nonlinear dvoretzky theorem",

abstract = "We make two additions to recent results of Mendel and Naor on nonlinear versions of Dvoretzky's theorem. We consider the cases of metric spaces with infinite Hausdorff dimension and countably infinite metric spaces.",

keywords = "Dvoretzky's theorem, Ultrametric space",

author = "Kei Funano",

year = "2012",

doi = "10.2140/pjm.2012.259.101",

language = "English",

volume = "259",

pages = "101--108",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "1",

}

TY - JOUR

T1 - Two infinite versions of the nonlinear dvoretzky theorem

AU - Funano, Kei

PY - 2012

Y1 - 2012

N2 - We make two additions to recent results of Mendel and Naor on nonlinear versions of Dvoretzky's theorem. We consider the cases of metric spaces with infinite Hausdorff dimension and countably infinite metric spaces.

AB - We make two additions to recent results of Mendel and Naor on nonlinear versions of Dvoretzky's theorem. We consider the cases of metric spaces with infinite Hausdorff dimension and countably infinite metric spaces.

KW - Dvoretzky's theorem

KW - Ultrametric space

UR - http://www.scopus.com/inward/record.url?scp=84872670735&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872670735&partnerID=8YFLogxK

U2 - 10.2140/pjm.2012.259.101

DO - 10.2140/pjm.2012.259.101

M3 - Article

AN - SCOPUS:84872670735

SN - 0030-8730

VL - 259

SP - 101

EP - 108

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

Two infinite versions of the nonlinear dvoretzky theorem

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this