Open Research Index

Weak mixing times minimality: transitivity of the product

Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

Palomar Registrypalomar/PALOMAR-2026-10-29-000025Oct 29, 2026math.DSscore 0

A continuous weakly mixing self-map of a nonempty compact Hausdorff space has a transitive actual heterogeneous product with any continuous pointwise forward-minimal self-map of a nonempty compact space. Surjectivity, arbitrarily late thick hitting blocks, syndetic hitting gaps and their intersection are proved.

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