Results 1 to 10 of about 39,057 (38)
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
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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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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
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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.
Haghmaram Pouya, Nourouzi Kourosh
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The Relation Between the Number of Related-Matrices and the Number of Topologies on a Finite Set [PDF]
, 2023 A new approach on counting the topologies on a finite set is given by using a characterisation of topological spaces and an upper bound is given by reducing the problem into an another problem.
Mehmet VURA
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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
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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
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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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Modular circle quotients and PL limit sets [PDF]
, 2004 We say that a collection Gamma of geodesics in the hyperbolic plane H^2 is a modular pattern if Gamma is invariant under the modular group PSL_2(Z), if there are only finitely many PSL_2(Z)-equivalence classes of geodesics in Gamma, and if each geodesic ...
Gardiner +5 more
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Chain models, trees of singular cardinality and dynamic EF games [PDF]
, 2011 Let κ be a singular cardinal. Karp's notion of a chain model of size ? is defined to be an ordinary model of size κ along with a decomposition of it into an increasing union of length cf(κ).
Džamonja, M, Väänänen, J
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