A topological approach to the Ulam–Kakutani–Collatz conjecture

Jorge Vielma,Angel Guale

doi:10.1016/j.topol.2019.01.012

A topological approach to the Ulam–Kakutani–Collatz conjecture

Jorge Vielma, Angel Guale

Open Access

https://doi.org/10.1016/j.topol.2019.01.012

Copy DOI

Journal: Topology and its Applications	Publication Date: Jan 31, 2019
Citations: 6	License type: publisher-specific-oa

Affiliation: Escuela Superior Politecnica del Litoral

#Collatz Function #Open Sets + Show 2 more

Abstract
Full-Text PDF
Similar Papers

Abstract

We give a topological approach to the Ulam–Kakutani–Collatz conjecture. In fact we prove that if (N,τf) is not a w–R0 space is equivalent to saying that the conjecture is true, τf being the topology on N given by the open sets as those subsets θ of N such that f−1(θ)⊂θ, where f is the Collatz function.

Full Text