Results 1 to 10 of about 225,214 (150)

Roughness in Membership Continuous Function

مجلة المختار للعلوم, 2021
In this paper, we introduce the new definition of rough membership function using continuous function and we discuss several concepts and properties of rough continuous set value functions as new results on rough continuous function and membership ...
Faraj.A. Abdunani, Ahmed.A. Shletiet
doaj   +1 more source

On Information Orders on Metric Spaces

Information, 2021
Information orders play a central role in the mathematical foundations of Computer Science. Concretely, they are a suitable tool to describe processes in which the information increases successively in each step of the computation.
Oliver Olela Otafudu, Oscar Valero
doaj   +1 more source

On Semi-Continuous and Clisquish Functions in Generalized Topological Spaces

Axioms, 2023
In this paper, we will focus on three types of functions in a generalized topological space, namely; lower and upper semi-continuous functions, and cliquish functions. We give some results for nowhere dense sets and for second category sets.
Elvis Aponte, Vadakasi Subramanian, Jhixon Macías, Muthumari Krishnan   +3 more
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Generalization of New Continuous Functions in Topological Spaces [PDF]

Cubo (Temuco), 2013
En este articulo conjuntos cerrados-ωα y abiertos-ωα se usan para definir e investigar las clases de nuevas funciones continuas ωα y totalmente ontinuas ωα.
Patil, P. G, Rayanagoudar, T. D, Benchalli, S. S   +2 more
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Generalized topological function spaces and a classification of generalized computer topological spaces

Filomat, 2012
We introduce several kinds of generalized continuities and homeomorphisms in computer topology and investigate some properties of function spaces of these generalized continuous maps and classify generalized computer topological spaces up to each of these generalized homeomorphisms.
D.N. Georgiou, Sang-Eon Han
openaire   +2 more sources

Computing CMB Anisotropy in Compact Hyperbolic Spaces [PDF]

, 1998
The measurements of CMB anisotropy have opened up a window for probing the global topology of the universe on length scales comparable to and beyond the Hubble radius.
Anderson J W, Aurich R, Bennett C, Berard P H, Bond J R, Bond J R, Bond J R, Bond J R, Buser P, Buser P, Chavel I, Cheeger J, Cornish N J, Cornish N J, Culler M, Culler M, Culler M, de Oliveira Costa A, Dekel A, Dmitry Pogosyan, Ellis G F R, Gabai D, Hardy G H, J Richard Bond, Lachieze-Rey M, Levin J J, Matveev S V, Sokoloff D D, Sokolov I Y, Spergel D N, Starobinsky A A, Tarun Souradeep, Thurston W P, Thurston W P, Weeks J R, Weeks J R   +35 more
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Comparing the Morse index and the first Betti number of minimal hypersurfaces [PDF]

, 2018
By extending and generalizing previous work by Ros and Savo, we describe a method to show that in certain positively curved ambient manifolds the Morse index of every closed minimal hypersurface is bounded from below by a linear function of its first ...
Ambrozio, Lucas, Carlotto, Alessandro, Sharp, Benjamin G.   +2 more
core   +1 more source

Composition and multiplication operators between Orlicz function spaces

Journal of Inequalities and Applications, 2016
Composition operators and multiplication operators between two Orlicz function spaces are investigated. First, necessary and sufficient conditions for their continuity are presented in several forms.
Tadeusz Chawziuk, Yunan Cui, Yousef Estaremi, Henryk Hudzik, Radosław Kaczmarek   +4 more
doaj   +1 more source

Functions on $n$-generalized Topological Spaces

European Journal of Pure and Applied Mathematics, 2019
An $n$-generalized topological ($n$-GT) space is a pair $(X,\mathscr{G})$ of a nonempty set $X$ and a collection $\mathscr{G}$ of $n$ $(n\in\mathbb{N})$ distinct generalized topologies (in the sense of A. Cs\'{a}sz\'{a}r [1]) on the set $X$. In this paper, we look into $\mathscr{G}$-continuous maps, $\mathscr{G}$-open and $\mathscr{G}$-closed maps, as ...
Cherry Mae Rivas Balingit, Julius Benitez   +1 more
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General theorems on functional equivalence of topological spaces

Topology and its Applications, 1998
Two spaces \(X\) and \(Y\) are \(l_p\)-equivalent (or \(l_k\)-equivalent) provided that their spaces, \(C_p(X)\) and \(C_p(Y)\) (or \(C_k(X)\) and \(C_k(Y)\)), of continuous real-valued functions are linearly homeomorphic, where the \(p\) refers to the topology of pointwise convergence (or \(k\) refers to the compact-open topology).
Cioban, M.M., Choban, M.M.
openaire   +4 more sources