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(α, β, θ, ∂, I)-continuous mappings and their decomposition
ArticleAbstract: In this paper we introduce the concept of (α, β, θ, ∂, I)-continuous mappings and prove that if α, βPalabras claves:Expansion continuous, Mutually dual expansions, P-continuousAutores:Jorge E. Vielma, Rosas E.Fuentes:scopusA topological approach to the Ulam–Kakutani–Collatz conjecture
ArticleAbstract: We give a topological approach to the Ulam–Kakutani–Collatz conjecture. In fact we prove that if (N,Palabras claves:Alexandroff space, Collatz conjecture, Primal spaces, Resolvable space, Supercompact space, Weak R spaces 0Autores:Angel Guale, Jorge E. VielmaFuentes:googlescopusCHARACTERIZATIONS OF UPPER AND LOWER (α, β, θ, δ, I)-CONTINUOUS MULTIFUNCTIONS
ArticleAbstract: Let (X, τ) and (Y, σ) be topological spaces in which no separation axioms are assumed, unless explicPalabras claves:(α, I)-continuous multifunctions, P -continuous multifunctions, β, δ, θAutores:Carpintero C., Jorge E. Vielma, José E. Sanabria, Rosas E.Fuentes:scopusAlexandroff topologies viewed as closed sets in the Cantor cube
ArticleAbstract: We present some results about the class of Alexandroff topologies (i.e. topologies where the intersePalabras claves:Alexandroff topologies, Lattice of topologiesAutores:Jorge E. Vielma, Uzcátegui C.Fuentes:scopusPaths in primal spaces and the Collatz conjecture
ArticleAbstract: The Collatz conjecture establishes that for every natural number n ∈ ℕ, there exists an r ∈ ℕ such tPalabras claves:Alexandroff space, Collatz conjecture, primal spaceAutores:Angel Guale, Fernando Mejias, Jorge E. VielmaFuentes:googlescopusIsolated points and redundancy
ArticleAbstract: We describe the isolated points of an arbitrary topological space (X, τ). If the τ-specialization prPalabras claves:Isolated point, Jacobson radical, Maximal (minimal) spectrum of a ring, Prime radical, Scattered spaceAutores:Jorge E. Vielma, Peña A.Fuentes:scopusSeparation axioms modulo a tolerance relation
ArticleAbstract: In this paper we present separation axioms T0, T1, T2, R0, module a tolerance relation. That is, thePalabras claves:Separation axioms, Tolerance relation, Topological spaceAutores:Angel Guale, Jorge E. Vielma, Mireya Rafaela Bracamonte PFuentes:scopusWeak Sequential Convergence and Weak Compactness in Spaces of Vector-Valued Continuous Functions
ArticleAbstract: Let X be completely regular Hausdorff space, E a Hausdorff locally convex space, C(X, E) (Cb(X, E))Palabras claves:Autores:Jorge E. Vielma, Khurana S.Fuentes:scopusPrimal Topologies on Finite-Dimensional Vector Spaces Induced by Matrices
ArticleAbstract: Given an matrix A, considered as a linear map A:ℝnℝn, then A induces a topological space structure oPalabras claves:Autores:Angel Guale, Ebner Pineda, Jorge E. Vielma, Luis MejíasFuentes:googlescopusTopological characterization of gelfand and zero dimensional semiring
ArticleAbstract: Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime idealsPalabras claves:Conmutative semiring, D-topology, Gelfand semiring, Zariski topology, Zero dimensional semiringAutores:Jorge E. Vielma, Luz Elimar MarchanFuentes:googlescopus