Mean dimension and Jaworski‐type theorems

By Yonatan Gutman. 2012

80 citations recorded by the source corpus.

According to the celebrated Jaworski theorem, a finite‐dimensional aperiodic dynamical system (X,T) embeds in the one‐dimensional cubical shift ([0,1]Z,shift) . If X admits periodic points (still assuming dim(X)<∞ ), then we show in this paper that periodic dimension perdim(X,T)

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/79c2358420c64fdf329f4b2f0c959243309cfcfb

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In Discrete Mathematics and Combinatorics

1. G'abor Szab'o

In Geometry and Topology

1. Jianchao Wu
2. G'abor Szab'o
3. J. Zacharias

In Mathematical Physics

1. G'abor Szab'o
2. Jianchao Wu
3. J. Zacharias
4. W. Winter
5. David Kerr
6. Eusebio Gardella
7. Aaron Tikuisis

Citations in the corpus

• The Rokhlin dimension of topological ℤm‐actions (2013, background): “es, so we are done by Lemma 2.2. We see now that it suffices to study the topological variant of Rokhlin dimension of a topological Zm-action in order to study the C∗-algebraic counterpart. A result of [8] enables an easy proof of finite Rokhlin dimension for m= 1 in this vein: Theorem 2.5 (see [8, the”
• Rokhlin dimension for actions of residually finite groups (2014, background): “also gave a better framework for establising a bound for the Rokhlin dimension on compact metric spaces requiring only freeness of the action. This used some crucial topological arguments inspired by [45, 21], the result of which can be regarded as a topological version of the classical Rokhlin Lemm”