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math.DS2026
Ramsey theory and topological dynamics of 0-dimensional flows
Krzysztof Krupiński, Junguk Lee, Slavko Moconja
We introduce several Ramsey-theoretic properties of 0-dimensional ambits and obtain their dynamical characterizations. In consequence, we obtain Ramsey-theoretic criteria for trivi…
math.DS2026
Haar decompression and amenability of Ellis flows
Daniel Max Hoffmann, Krzysztof Krupiński
Let be a tame flow and let be an Ellis group of its enveloping semigroup . Although is a compact Hausdorff topological group in its -topology, the inclus…
math.RA2026
On the structure of approximate rings
Krzysztof Krupiński, Simon Machado
By a [-]approximate subring of a ring we mean an additively symmetric subset such that is covered by finitely many [resp.\ ] additive translates…