Results 11 to 20 of about 339 (176)
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
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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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Penot’s Compactness Property in Ultrametric Spaces with an Application
Journal of Function Spaces, 2021 In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures.
Mostafa Bachar +2 more
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Mathematics, 2023 The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces.
Yahya Almalki +3 more
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The Ultrametric Space of Plane Branches [PDF]
Communications in Algebra, 2011 Peer ...
Abío Roig, Ignasi +2 more
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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 +5 more
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CUDA and OpenMp Implementation of Boolean Matrix Product with Applications in Visual SLAM
Algorithms, 2023 In this paper, the concept of ultrametric structure is intertwined with the SLAM procedure. A set of pre-existing transformations has been used to create a new simultaneous localization and mapping (SLAM) algorithm.
Amir Zarringhalam +3 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
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Probability measure monad on the category of ultrametric spaces
Applied General Topology, 2008 The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the ...
O.B. Hubal, M.M. Zarichnyi
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