Wiggly sets and limit sets

Limit Computable Sets and Degrees

This paper will study sets and degrees containing sets that are determined as limits of computable approximations. By the Shoenfield Limit Lemma, the limit computable sets are precisely the degrees below ∅′. In particular, the paper will study limit computable sets by classifying them according to bounds to the number of changes to elements in various approximations of the sets. This leads to t...

Calculating Hausdorff Dimension of Julia Sets and Kleinian Limit Sets

THE DIRECT AND THE INVERSE LIMIT OF HYPERSTRUCTURES ASSOCIATED WITH FUZZY SETS OF TYPE 2

In this paper we study two important concepts, i.e. the direct andthe inverse limit of hyperstructures associated with fuzzy sets of type 2, andshow that the direct and the inverse limit of hyperstructures associated withfuzzy sets of type 2 are also hyperstructures associated with fuzzy sets of type 2.

Invariant Currents on Limit Sets

We relate the L-cohomology of a complete hyperbolic manifold to the invariant currents on its limit set.

Connectedness Properties of Limit Sets

We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic fixed point. We apply this result to the case of boundaries of relatively hyperbolic groups, and consider implications for connectedness properties of such spaces.