  We provide an infinity of spacetimes which contain part of both the
Schwarzschild vacuum and de Sitter space. The transition, which occurs below
the Schwarzschild event horizon, involves only boundary surfaces (no surface
layers). An explicit example is given in which the weak and strong energy
conditions are satisfied everywhere (except in the de Sitter section) and the
dominant energy condition is violated only in the vicinity of the boundary to
the Schwarzschild section. The singularity is avoided by way of a change in
topology in accord with a theorem due to Borde..
