Abstract Packing topological entropy is a dynamical analogy of the packing dimension, which can be viewed as counterpart Bowen entropy. In present paper we give systematic study for continuous G -action system $(X,G)$ , where X compact metric space and countable infinite discrete amenable group. We first prove variational principle entropy: any Borel subset Z equals supremum upper local over al...

Let A L $A_L$ be the right-angled Artin group associated with a finite flag complex $L$ . We show that amenable category of equals virtual cohomological dimension Coxeter W $W_L$ In particular, groups satisfy question Capovilla–Löh–Moraschini proposing an inequality between and Farber's topological complexity.