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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:scopusCardinality 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: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: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: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:scopus