A doubling subset of {Mathematical expression} for {Mathematical expression} that is inherently infinite dimensional

Vincent Lafforgue; Assaf Naor

doi:10.1007/s10711-013-9924-4

A doubling subset of {Mathematical expression} for {Mathematical expression} that is inherently infinite dimensional

Vincent Lafforgue, Assaf Naor

Mathematics

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

Abstract

It is shown that for every {Mathematical expression} there exists a doubling subset of {Mathematical expression} that does not admit a bi-Lipschitz embedding into {Mathematical expression} for any {Mathematical expression}.

Original language	English (US)
Pages (from-to)	1-12
Number of pages	12
Journal	Geometriae Dedicata
DOIs	https://doi.org/10.1007/s10711-013-9924-4
State	Accepted/In press - 2013

Keywords

Doubling metric spaces
Heisenberg group
Metric embeddings

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-013-9924-4

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title = "A doubling subset of {Mathematical expression} for {Mathematical expression} that is inherently infinite dimensional",

abstract = "It is shown that for every {Mathematical expression} there exists a doubling subset of {Mathematical expression} that does not admit a bi-Lipschitz embedding into {Mathematical expression} for any {Mathematical expression}.",

keywords = "Doubling metric spaces, Heisenberg group, Metric embeddings",

author = "Vincent Lafforgue and Assaf Naor",

year = "2013",

doi = "10.1007/s10711-013-9924-4",

language = "English (US)",

pages = "1--12",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

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T1 - A doubling subset of {Mathematical expression} for {Mathematical expression} that is inherently infinite dimensional

AU - Lafforgue, Vincent

AU - Naor, Assaf

PY - 2013

Y1 - 2013

N2 - It is shown that for every {Mathematical expression} there exists a doubling subset of {Mathematical expression} that does not admit a bi-Lipschitz embedding into {Mathematical expression} for any {Mathematical expression}.

AB - It is shown that for every {Mathematical expression} there exists a doubling subset of {Mathematical expression} that does not admit a bi-Lipschitz embedding into {Mathematical expression} for any {Mathematical expression}.

KW - Doubling metric spaces

KW - Heisenberg group

KW - Metric embeddings

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U2 - 10.1007/s10711-013-9924-4

DO - 10.1007/s10711-013-9924-4

M3 - Article

SN - 0046-5755

SP - 1

EP - 12

JO - Geometriae Dedicata

JF - Geometriae Dedicata

ER -

A doubling subset of {Mathematical expression} for {Mathematical expression} that is inherently infinite dimensional

Abstract

Keywords

ASJC Scopus subject areas

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