63 citations · 295 across the 47 of their papers we have counts for
3 papers · 1 filter
Characterizations of ω-Limit Sets of Topologically Hyperbolic Systems
Andrew Barwell, Chris Good, Piotr Oprocha +1
It is well known that ω-limit sets are internally chain transitive and have weak incompressibility; the converse is not generally true, in either case. However, it has been shown t…
Topological structure and entropy of mixing graph maps
Grzegorz Harańczyk, Dominik Kwietniak, Piotr Oprocha
Let be the family of all topologically mixing, but not exact self-maps of a topological graph . It is proved that the infimum of topological entropies of maps fr…
Syndetic proximality and scrambled sets
T. K. Subrahmonian Moothathu, Piotr Oprocha
This paper is a systematic study about the syndetically proximal relation and the possible existence of syndetically scrambled sets for the dynamics of continuous self-maps of comp…