Embedding proper ultrametric spaces into $\ell_p$ and its application to nonlinear Dvoretzky's theorem

Kei Funano

Type: Preprint

Publication Date: 2012-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1203.1761

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Ultrametric spaces bi-Lipschitz embeddable in $ℝ^n$	1996	Kerkko Luosto
+	Isometric Embedding of Ultrametric (non-Archimedean) Spaces in Hilbert Space and Lebesgue Space	2001	Alex J. Lemin
+ PDF Chat	Free Spaces Over Some Proper Metric Spaces	2014	Aude Dalet
+ PDF Chat	Recognizing special metrics by topological properties of the ``metri''-proximal hyperspace	2002	Camillo Costantini Valentin Gutev
+	Isometric embeddings of Polish ultrametric spaces	2012	Maciej Malicki
+	Intrinsic Isometric Embeddings of Pro-Euclidean Spaces	2013	Barry Minemyer
+ PDF Chat	Tight Embeddability of Proper and Stable Metric Spaces	2015	Florent P. Baudier Gilles Lancien
+ PDF Chat	Minimal bi-Lipschitz embedding dimension of ultrametric spaces	1994	Jouni Luukkainen H. Movahedi-Lankarani
+	Approximating spaces of Nagata dimension zero by weighted trees	2021	Giuliano Basso Hubert Sidler
+	Isometrical embeddings of ultrametric spaces into non-archimedean valued fields	1984	W.H. Schikhof
+	Free spaces over some proper metric spaces	2014	Aude Dalet
+	Free spaces over some proper metric spaces	2014	Aude Dalet
+	Nonlinear embeddings of spaces of continuous functions	2019	Elói Medina Galego André Luis Porto da Silva
+	Some characterizations of ultrametrically injective spaces	2020	Collins Amburo Agyingi
+	Isometric embeddings of snowflakes into finite-dimensional Banach spaces	2017	Enrico Le Donne Tapio Rajala Erik Walsberg
+	On isometric embeddings into the set of strongly norm-attaining Lipschitz functions	2022	Sheldon Dantas Rubén Medina Andrés Quilis Óscar Roldán
+	Extending proper metrics	2022	Yoshito Ishiki
+ PDF Chat	Approximating spaces of Nagata dimension zero by weighted trees	2023	Giuliano Basso Hubert Sidler
+	An ultrametricity condition for pretangent spaces	2012	A. A. Dovgosheĭ D. V. Dordovskii
+	Extension of quasi-H$$\ddot{\text {o}}$$lder embeddings between unit spheres of p-normed spaces	2023	Rui Liu Jifu Yin

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	An Embedding, An Extension, and An Interpolation of Ultrametrics$$^*$$	2021	Yoshito Ishiki
+	An embedding, an extension, and an interpolation of ultrametrics	2020	Yoshito Ishiki
+	Polygonal equalities and virtual degeneracy in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-spaces	2014	Casey Lynn Kelleher Daniel Miller Trenton Osborn Anthony Weston

Works Cited by This (10)

Action	Title	Year	Authors
+	A tight threshold for metric Ramsey phenomena	2005	Moses Charikar Adriana Karagiozova
+	On the universal ultrametric space	1994	Igor A. Vestfrid
+ PDF Chat	Trees and ultrametric spaces: a categorical equivalence	2004	Bruce Hughes
+ PDF Chat	Some Low Distortion Metric Ramsey Problems	2004	Yair Bartal Nathan Linial Manor Mendel Assaf Naor
+ PDF Chat	Ramsey partitions and proximity data structures	2007	Manor Mendel Assaf Naor
+	Two observations regarding embedding subsets of Euclidean spaces in normed spaces	2004	Gideon Schechtman
+	Finite Ultrametric Spaces and Computer Science	2001	Vladimir A. Lemin
+ PDF Chat	On metric Ramsey-type phenomena	2005	Yair Bartal Nathan Linial Manor Mendel Assaf Naor
+	Scale-oblivious metric fragmentation and the nonlinear Dvoretzky theorem	2010	Assaf Naor Terence Tao
+	Topics in Banach Space Theory	2006	Fernando Albiac N. J. Kalton