Revisiting Variations in Topological Transitivity

Abstract

Topological dynamical systems $(X,T)$ are actions $T\times X\to X$, given as $(t,x)\to tx$, on a compact, Hausdorff topological space $X$ with $T$ as an acting group or monoid. We take up the property of topological transitivity especially for semiflows $(X,S)$ and discuss the variations in its definitions.

arXiv commentupdated version

References in corpus (2)

• On weak mixing, minimality and weak disjointness of all iterates
• Transitive points via Furstenberg family

Cited by in corpus (1)

• On Almost periodicity and minimality for semiflows