Results 21 to 30 of about 50 (50)

Echeloned Spaces

Forum of Mathematics, Sigma
We introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens, Bojana Pavlica, Christian Pech, Maja Pech, Friedrich Martin Schneider   +4 more
doaj   +1 more source

ℐ-sn-metrizable spaces and the images of semi-metric spaces

Open Mathematics
The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng, Liu Fang, Liu Li, Lin Shou   +3 more
doaj   +1 more source

Characterizations of Urysohn universal ultrametric spaces

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   +1 more source

On the Borel complexity and the complete metrizability of spaces of metrics

Analysis and Geometry in Metric Spaces
Given a metrizable space XX, let AM(X)AM\left(X) be the space of continuous bounded admissible metrics on XX, which is endowed with the sup-metric. In this article, we shall investigate the Borel complexity and the complete metrizability of AM(X)AM\left ...
Koshino Katsuhisa
doaj   +1 more source

New common fixed point results in digital metric space

Demonstratio Mathematica
In this paper, we develop a new common fixed-point theorem tailored specifically to digital metric spaces, where the discrete nature of pixel grids demands specialized distance and contraction concepts.
Özkapu Aybala Sevde, Acar Özlem
doaj   +1 more source

Approximation of the multiplicatives on random multi-normed space. [PDF]

J Inequal Appl, 2017
Agarwal RP, Saadati R, Salamati A.
europepmc   +1 more source

Expansion of gene clusters, circular orders, and the shortest Hamiltonian path problem. [PDF]

J Math Biol, 2018
Prohaska SJ, Berkemer SJ, Gärtner F, Gatter T, Retzlaff N, Students of the Graphs and Biological Networks Lab 2017, Höner Zu Siederdissen C, Stadler PF.   +7 more
europepmc   +1 more source

Surgery and positive Bakry-Émery Ricci curvature. [PDF]

Calc Var Partial Differ Equ
Reiser P, Tripaldi F.
europepmc   +1 more source

Homogeneous isosceles-free spaces. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Bargetz C, Bartoš A, Kubiś W, Luggin F.   +3 more
europepmc   +1 more source