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A 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: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:scopusIsolated 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:scopusLow separation axioms via the diagonal
ArticleAbstract: In the context of a generalized topology g on a set X, we give in this article characterizations ofPalabras claves:Envelope operations, Generalized topologies, Intersection structures, Kerneled and saturated setsAutores:Colasante M.L., 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: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:scopusSpaces α-sg-T <inf>i</inf>, i = 0, 1, 2, 3
ArticleAbstract: Let (X,τ) be a topological space and α be a monotone operator-associated with τ. A subset A of X isPalabras claves:Generalized α Semi closure, Generalized α Semi interior, α Semi Kernel, α sg-regularAutores:Carpintero C., Jorge E. Vielma, Rosas E.Fuentes:scopus