Results 1 to 10 of about 50 (50)
Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
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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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Separation functions and mild topologies
Analysis and Geometry in Metric Spaces, 2023 Given MM and NN Hausdorff topological spaces, we study topologies on the space C0(M;N){C}^{0}\left(M;\hspace{0.33em}N) of continuous maps f:M→Nf:M\to N. We review two classical topologies, the “strong” and the “weak” topology. We propose a definition of “
Mennucci Andrea C. G.
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so-metrizable spaces and images of metric spaces
Open Mathematics, 2021 so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
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Every metric space is separable in function realizability [PDF]
Logical Methods in Computer Science, 2019 We first show that in the function realizability topos every metric space is separable, and every object with decidable equality is countable. More generally, working with synthetic topology, every $T_0$-space is separable and every discrete space is ...
Andrej Bauer, Andrew Swan
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Pseudometric spaces: From minimality to maximality in the groups of combinatorial self-similarities
Analysis and Geometry in Metric Spaces, 2023 The group of combinatorial self-similarities of a pseudometric space (X,d)\left(X,d) is the maximal subgroup of the symmetric group Sym(X){\rm{Sym}}\left(X) whose elements preserve the four-point equality d(x,y)=d(u,v)d\left(x,y)=d\left(u,v).
Bilet Viktoriia, Dovgoshey Oleksiy
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Concentration of Product Spaces
Analysis and Geometry in Metric Spaces, 2021 We investigate the relation between the concentration and the product of metric measure spaces. We have the natural question whether, for two concentrating sequences of metric measure spaces, the sequence of their product spaces also concentrates.
Kazukawa Daisuke
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Measure of nonhyperconvexity and fixed‐point theorems
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 111-119, 2003., 2003 The aim of this paper is to work with the measure of nonhyperconvexity in a similar way as J. Cano (1990) does with the index of nonconvexity. We apply this measure to obtain different extensions of the famous Schauder fixed‐point theorem in hyperconvex spaces.
Dariusz Bugajewski, Rafael Espínola
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Quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 385-392, 2001., 2001 We determine conditions for quasi‐pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces. We also study conditions for complete quasi‐pseudometrizability.
Koena Rufus Nailana
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A subset of metric preserving functions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 409-410, 1998., 1996 In this paper we define a subset of metric preserving functions and give some examples and a characterization ofthis subset.
Robert W. Vallin
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