Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down

We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal...
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Autor*in:	Joseph Matthieu [verfasserIn] Rajala Tapio [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2017

Schlagwörter:	ahlfors-regularity bilipschitz pieces bpi-spaces primary 26b05 secondary 28a80

Übergeordnetes Werk:	In: Analysis and Geometry in Metric Spaces - De Gruyter, 2015, 5(2017), 1, Seite 78-97
Übergeordnetes Werk:	volume:5 ; year:2017 ; number:1 ; pages:78-97

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1515/agms-2017-0005

Katalog-ID:	DOAJ007525362

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callnumber-first	Q - Science
author	Joseph Matthieu
spellingShingle	Joseph Matthieu misc QA299.6-433 misc ahlfors-regularity misc bilipschitz pieces misc bpi-spaces misc primary 26b05 misc secondary 28a80 misc Analysis Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
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title	Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
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title_full	Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
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title_sort	products of snowflaked euclidean lines are not minimal for looking down
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title_auth	Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
abstract	We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal for looking down. By a method of shortcuts, we define a new distance d such that the product of snowflaked Euclidean lines looks down on (RN , d), but not vice versa.
abstractGer	We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal for looking down. By a method of shortcuts, we define a new distance d such that the product of snowflaked Euclidean lines looks down on (RN , d), but not vice versa.
abstract_unstemmed	We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal for looking down. By a method of shortcuts, we define a new distance d such that the product of snowflaked Euclidean lines looks down on (RN , d), but not vice versa.
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title_short	Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down
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