{"id":"palomar/PALOMAR-2026-10-29-000001","url":"https://github.com/Arthur742Ramos/Math-Formalization/tree/b507c8fd789af8ac5dee356ea2a85444209e401d/topology/strongly-transitive-sequences","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000001-v1.json","repo":"https://github.com/Arthur742Ramos/Math-Formalization","tags":["math.DS","math.GN","msc:37B05","msc:37B02"],"score":0,"title":"Generic strongly transitive sequences in weakly mixing Polish systems","trust":"high","domain":"math.DS","source":"palomar","authors":["Arthur Freitas Ramos","David Barros Hulak","Ruy Jose Guerra Barretto de Queiroz"],"reviews":0,"subject":"math.DS","summary":"For a continuous weakly mixing self-map of a nonempty Polish space, a comeagre set of countable sequences has every finite prefix dense under the corresponding diagonal forward orbit. A nonempty dense G-delta subset of such sequences is constructed through countable-product transitivity and a countable-basis Baire argument.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true,"formalizes":[{"title":"Revisiting Variations in Topological Transitivity","identifier":"arXiv:1906.00712v4","relationship":"formalizes"},{"title":"Notes on Topological Dynamics","identifier":"https://math.huji.ac.il/~mhochman/courses/TD2022/notes-v3.pdf","relationship":"formalizes"}]}