Hajłasz, P and Malekzadeh, S
(2015)
On conditions for unrectifiability of a metric space.
Analysis and Geometry in Metric Spaces, 3 (1).
1 - 14.
Abstract
We find necessary and sufficient conditions for a Lipschitz map f : E Rk ! X into a metric space to satisfyHk(f (E)) = 0. An interesting feature of our approach is that despite the fact that we are dealing with arbitrary metric spaces, we employ a variant of the classical implicit function theorem. Applications include pure unrectifiability of the Heisenberg groups.
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Item Type: |
Article
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Status: |
Published |
Creators/Authors: |
Creators | Email | Pitt Username | ORCID ![](/images/orcid_id_24x24.png) |
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Hajłasz, P | | | | Malekzadeh, S | som13@pitt.edu | SOM13 | |
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Date: |
1 January 2015 |
Date Type: |
Publication |
Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
Journal or Publication Title: |
Analysis and Geometry in Metric Spaces |
Volume: |
3 |
Number: |
1 |
Page Range: |
1 - 14 |
DOI or Unique Handle: |
10.1515/agms-2015-0001 |
Institution: |
University of Pittsburgh |
Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
Refereed: |
Yes |
Date Deposited: |
22 May 2015 21:59 |
Last Modified: |
30 Mar 2021 10:55 |
URI: |
http://d-scholarship.pitt.edu/id/eprint/24683 |
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