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Furstenberg Topology and Collatz Problem

The aims of this paper are two-fold. First, we present the result of the decomposition on the iterations of a Collatz transform into arithmetic sequences. With this, we prove that in Furstenberg topology, the set of (odd) integers with an infinite stopping time is closed and nowhere dense. Then, we...

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Autori principali: Edward Tutaj, Halszka Tutaj-Gasinska
Natura: Artigo
Lingua:Inglês
Pubblicazione: MDPI AG 2025-04-01
Serie:Axioms
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Accesso online:https://www.mdpi.com/2075-1680/14/4/297
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