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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:googlescopusPaths 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: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:googlescopus