A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
Let K be the unit circle, and let/ be a function whose domain is the open unit disk and whose range is a subset of the Riemann sphere. We define a set, called the boundary principal cluster set of/at £0 6 K, which characterizes the behavior of the principal cluster sets of fat points £ s K which are near £0 and distinct from £0. It is shown that iff is continuous, then the principal and boundary principal cluster sets off at £o are equal for nearly every point i0 6 Í. A similar result holds fordoi:10.1090/s0002-9947-1972-0294643-3 fatcat:62pey2cspnbxplsfrpzzgbhjzy