Developing the theory of subset currents on p1(S), which he calls subset currents on S, Sasaki proves that the space SC(S) of subset currents on S is a measure-theoretic completion of the set of conjugacy classes of non-trivial finitely generated subgroups of p1(S), each of which geometrically corresponds to a convex core of a covering space of S. The topics include subset currents on hyperbolic groups, volume functionals on Kleinian groups, intersection number, and the denseness property of rational subset currents. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
