Back to Search
Start Over
Bi-Lipschitz embeddings of quasiconformal trees.
- Source :
- Proceedings of the American Mathematical Society; May2023, Vol. 151 Issue 5, p2031-2044, 14p
- Publication Year :
- 2023
-
Abstract
- A quasiconformal tree is a doubling metric tree in which the diameter of each arc is bounded above by a fixed multiple of the distance between its endpoints. In this paper we show that every quasiconformal tree bi-Lipschitz embeds in some Euclidean space, with the ambient dimension and the bi-Lipschitz constant depending only on the doubling and bounded turning constants of the tree. This answers Question 1.6 of David and Vellis [Illinois J. Math. 66 (2022), pp. 189–244]. [ABSTRACT FROM AUTHOR]
- Subjects :
- TREES
MULTICASTING (Computer networks)
MATHEMATICS
DIAMETER
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 162264420
- Full Text :
- https://doi.org/10.1090/proc/16252