Topological and almost Borel Universality for systems with the weak specification property

Abstract

We show that systems with some specification properties are topologically or almost Borel universal, in the sense that any aperiodic subshift with lower entropy may be topologically or almost Borel embedded.

References in corpus (1)

• On the interplay between measurable and topological dynamics

Cited by in corpus (6)

• Ergodic measures of intermediate entropies for dynamical systems with the approximate product property
• Borel subsystems and ergodic universality for compact ${\mathbb{Z}}^d$-systems via specification and beyond
• Zero-entropy dynamical systems with the gluing orbit property
• Measures of maximal entropy of bounded density shifts
• Conditional intermediate entropy and Birkhoff average properties of hyperbolic flows
• Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures