Results 1 to 10 of about 36 (35)
Ultradiversification of Diversities
Analysis and Geometry in Metric Spaces, 2020 In this paper, using the idea of ultrametrization of metric spaces we introduce ultradiversification of diversities. We show that every diversity has an ultradiversification which is the greatest nonexpansive ultra-diversity image of it.
Kourosh Nourouzi
exaly +2 more sources
Density and Extension of Differentiable Functions on Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2021 We consider vector valued mappings defined on metric measure spaces with a measurable differentiable structure and study both approximations by nicer mappings and regular extensions of the given mappings when defined on closed subsets.
García Rafael Espínola +1 more
doaj +1 more source
Compact mappings and s-mappings at subsets
Open Mathematics, 2022 Almost ss-mappings and almost compact mappings have been introduced and studied. In this article, we continue to research some questions related to the almost s-images (resp., almost compact images) of metric spaces.
Lin Shou, Ling Xuewei, He Wei
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A Few Notes on Formal Balls [PDF]
Logical Methods in Computer Science, 2017 Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its $d$-Scott ...
Jean Goubault-Larrecq, Kok Min Ng
doaj +1 more source
© Hindawi Publishing Corp. ON THE TOPOLOGY OF D-METRIC SPACES AND GENERATION OF D-METRIC SPACES FROM METRIC SPACES [PDF]
, 2003 An example of a D-metric space is given, in which D-metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructing D-metric spaces from a given metric space are developed
K. P. R. Rao +2 more
core +1 more source
Common fixed points of maps on fuzzy metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 253-258, 1994., 1993 Following Grabiec′s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces.
S. N. Mishra, Nilima Sharma, S. L. Singh
wiley +1 more source
On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
doaj +1 more source
A Universal Separable Diversity
Analysis and Geometry in Metric Spaces, 2017 The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be ...
Bryant David, Nies André, Tupper Paul
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ℐ-sn-metrizable spaces and the images of semi-metric spaces
Open MathematicsThe 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 +3 more
doaj +1 more source
Completeness In Continuity Spaces
, 2008 . We apply enriched category theory to study Cauchy completeness in continuity spaces. Our main result is the equivalence in continuity spaces of the category theoretic and the uniform notions of Cauchy completeness.
Robert Flagg
core