2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147363We propose a theory of chaos for discrete systems, based on their representation in a space of ``binary histories'', $ {\cal B^{\infty}} $. We show that $ {\cal B^{\infty}} $ is a metrizable Cantor set which embeds the attractor $Λ$, itself also a Cantor set.TeX file, 23 pages, please contact the authors for figures The first two sections were rewritten to interpret our results (theory of chaos on a space of binary histories) in the context of existing mathematical literature on the dynamics of asymmetric spin glasses and cellular automataChaotic Dynamicstext