Results 21 to 30 of about 4,773,304 (208)
On boundedly-convex functions on pseudo-topological vector spaces
Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
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Formalization of the Equivalence among Completeness Theorems of Real Number in Coq
The formalization of mathematics based on theorem prover becomes increasingly important in mathematics and computer science, and, particularly, formalizing fundamental mathematical theories becomes especially essential.
Yaoshun Fu, Wensheng Yu
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A quasitopos containing CONV and MET as full subcategories
We show that convergence spaces with continuous maps and metric spaces with contractions, can be viewed as entities of the same kind. Both can be characterized by a limit function λ which with each filter ℱ associates a map λℱ from the underlying set ...
E. Lowen, R. Lowen
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Convergence of space and time through GIS [PDF]
Human's exploration of space has changed over time, depending on the expansion of the limits of his knowledge. Space is infinite, but it is limited by the possibility of human knowledge. The original man knew very little about the space in which
Valjarević Aleksandar +1 more
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Compactifications of convergens spaces
This paper summarizes most of the results to date on convergence space compactifications, and establishes necessary and sufficient conditions for the existence of largest and smallest compactifications subject to various conditions imposed upon the ...
D. C. Kent, G. D. Richardson
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Tuning Multiple Fano Resonances for On-Chip Sensors in a Plasmonic System
This paper proposed a plasmonic resonator system, consisting of a metal-insulator-metal structure and two stubs, and a Fano resonance arose in its transmittance, which resulted from the coupling between the two stubs.
Shilin Yu +3 more
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Convergence in variable Lebesgue spaces [PDF]
We consider the relationship in the variable Lebesgue space Lp(·)(Ω) between convergence in norm, convergence in modular, and convergence in measure, for both bounded and unbounded exponent functions.
CRUZ URIBE D., FIORENZA, ALBERTO
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Separation axioms for partially ordered convergence spaces
In partially ordered convergence spaces, separation axioms are introduced and then related to the concept of complete separatedness due to Nachbin as well as to connectedness concepts. A method to generate new separation axioms is studied.
Reino Vainio
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T0 convergence-approach spaces
Summary: In previous papers, several \(T_0\)-objects in set-based topological category have been introduced and compared. In this paper, we give the characterization of general \(\overline{T_0}\) (resp. \(T_0\), and \(T_0^\prime\)) convergence approach spaces as well as show how these notions are linked to each other.
Baran, Mehmet, Qasim, Muhammad
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A class of completely regular spaces
In this paper we investigate topologies with ultrafilters having bases of open sets. It is shown that these topologies are completely regular. All results are obtained by using Richardson's compactification of convergence spaces.
Patrik E. Eklund
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