Results 11 to 20 of about 3,792,347 (201)

Homotopy Theory of Ultrametric Spaces [PDF]

Higher Structures, 2021
This paper gives a new foundation of ultrametric spaces in terms of model categories, which was inspired by global rigid geometry with due regard to connections between Archimedean analysis and non-Archimedean one. These two branches of analysis are connected by perturbing the triangle inequality through deformation of symmetric monoidal structures on ...
Mihara, Tomoki
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Computational Models for Ultrametric Spaces [PDF]

Electronic Notes in Theoretical Computer Science, 1997
AbstractFor every ultrametric space, the set of closed balls of radius 0 or 2-n for some n, form an algebraic poset under reverse inclusion. If the ultrametric space is complete separable, then they form a Scott computational model for it. Conversely, every topological space with an algebraic computational model is a complete separable ultrametrizable ...
Bob Flagg, Ralph Kopperman
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Characterizations of Urysohn universal ultrametric spaces [PDF]

Analysis and Geometry in Metric Spaces
In this article, using the existence of infinite equidistant subsets of closed balls, we first characterize the injectivity of ultrametric spaces for finite ultrametric spaces. This method also gives characterizations of the Urysohn universal ultrametric
Ishiki Yoshito
doaj   +3 more sources

Random ultrametric trees and applications* [PDF]

ESAIM: Proceedings and Surveys, 2017
Ultrametric trees are trees whose leaves lie at the same distance from the root. They are used to model the genealogy of a population of particles co-existing at the same point in time.
Lambert Amaury
doaj   +2 more sources

Isomorphism of Trees and Isometry of Ultrametric Spaces

Theory and Applications of Graphs, 2020
We study the conditions under which the isometry of spaces with metrics generated by weights given on the edges of finite trees is equivalent to the isomorphism of these trees.
Oleksiy Dovgoshey
doaj   +5 more sources

Ultrametrically injective spaces [PDF]

Proceedings of the American Mathematical Society, 1987
We study the injective objects in the category of ultrametric spaces with contractive mappings. As a result, the property of spherical completeness is characterized in several new ways related to extensions of uniformly continuous mappings and to extensions of isometries. A construction of the injective envelope is also given.
Bayod, José M., Martínez-Maurica, J.
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Ultrametric matrix tools

, 2021
Changelog New functions to construct a random special ultrametric matrix Update better README.md, package description and code documentation change benchmarks to use special ultrametric matricesIf you use this software, please cite it using the ...
Oertel, Andy, Hofmann, Tobias
core   +1 more source

ROUNDNESS PROPERTIES OF ULTRAMETRIC SPACES [PDF]

Glasgow Mathematical Journal, 2013
AbstractMotivated by a classical theorem of Schoenberg, we prove that an n + 1 point finite metric space has strict 2-negative type if and only if it can be isometrically embedded in the Euclidean space $\mathbb{R}^{n}$ of dimension n but it cannot be isometrically embedded in any Euclidean space $\mathbb{R}^{r}$ of dimension r < n.
Faver, Timothy, Kochalski, Katelynn, Murugan, Mathav Kishore, Verheggen, Heidi, Wesson, Elizabeth, Weston, Anthony   +5 more
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Homogeneous Ultrametric Spaces

Journal of Algebra, 1996
Fortsetzung von zwei vorangehenden Arbeiten über verallgemeinerte ultrametrische Räume [the authors, Generalized ultrametric spaces I, Abh. Math. Semin. Univ. Hamb. 66, 55-73 (1996); and Part II (1997)]. Es wird der Begriff des homogenen ultrametrischen Raumes eingeführt [the authors, C. R. Math. Acad. Sci., Soc. R. Can. 18, 1-16 (1996; Zbl 0853.54029)]
Priess-Crampe, S., Ribenboim, P.
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On metric structure of ultrametric spaces [PDF]

Journal of Physics A: Mathematical and General, 2004
In our work we have reconsidered the old problem of diffusion at the boundary of ultrametric tree from a "number theoretic" point of view. Namely, we use the modular functions (in particular, the Dedekind eta-function) to construct the "continuous" analog of the Cayley tree isometrically embedded in the Poincare upper half-plane.
Vasilyev, Oleg, Nechaev, Sergei
openaire   +3 more sources