When all closed subsets are recurrent?
arXiv:1504.08191
Abstract
In the paper we study relations of rigidity, equicontinuity and pointwise recurrence between a t.d.s. and the t.d.s. induced on the hyperspace of all compact subsets of , and provide some characterizations. Among other examples, we construct a minimal, non-equicontinuous, distal and uniformly rigid t.d.s. and a t.d.s. which has dense small periodic sets but does not have dense distal points, solving that way open questions existing in the literature.
30 pages