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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:googlescopusCardinality and compactness, cofinality and equicontinuity
ArticleAbstract:Palabras claves:Autores:Chacón G., Jorge E. Vielma, Uzcátegui C.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:googlescopusPrimal topologies on the integers
ArticleAbstract: Given an infinite set X and a function f : X → X, the primal topology on X induced by f is the topolPalabras claves:orbits, periodic points prime orbits, Primal topologiesAutores:ANGEL GUALE, García-Ferreira S., Jorge E. VielmaFuentes:googlescopusPerfect measures and equicontinuity
ArticleAbstract: In this paper we give a characterization of the equicontinuous subsets of the space MP(X, E′) of vecPalabras claves:Equicontinuity, Perfect measures, Strict topologiesAutores:Jorge E. VielmaFuentes: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:googlescopusSeparation 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:scopusThe Algebraic Face of the Alexandroff One Point Compactification
ArticleAbstract: We give a characterization, in algebraic terms, of the Alexandroff one point compactification of a lPalabras claves:Alexandroff one point compactification, Completely regular topological space, Maximal ideal, SemiringAutores:Jorge E. Vielma, Luz Elimar MarchanFuentes:scopusThe equality of the patch topology and the ultrafilter topology: A shortcut
ArticleAbstract: In this work R denotes a commutative ring with non-zero identity and we prove that the patch topologPalabras claves:Patch topology, Prime spectrum of a ring, Ultrafilter topologyAutores:Jorge E. Vielma, Ruza L.M.Fuentes:scopus