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An Overview on Laakso Spaces

An Overview on Laakso Spaces

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2735854196

An Overview on Laakso Spaces

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Full title

An Overview on Laakso Spaces

Author / Creator

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2024-05

Language

English

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Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

Laakso's construction is a famous example of an Ahlfors \(Q\)-regular metric measure space admitting a weak \((1,1)\)-Poincar\'{e} inequality that can not be embedded in \(\mathbb{R}^n\) for any \(n\). The construction is of particular interest because it works for any fixed dimension \(Q>1\), even fractional ones. In this paper we will shed some l...

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Full title

An Overview on Laakso Spaces

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Author / Creator

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Record Identifier

TN_cdi_proquest_journals_2735854196

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2735854196

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E-ISSN

2331-8422

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