ABSTRACT
The development of intrinsic skeleta in the PL category was the key to understanding how polyhedra are built up from manifolds. In the corollary to theorem 3 we show that it is independent of choice of manifold weakly stratified set filtration. In the first section the results on intrinsic skeleta are derived, using the geometric material. The development of intrinsic skeleta in the PL category was the key to understanding how polyhedra are built up from manifolds. Topological analogs have been studied, most notably by Siebenmann in the setting of locally conelike spaces. Intersection homology is defined in terms of a filtration on a space, and has been very useful in investigating invariants of singular spaces. “Topological invariance” of this homology, with respect to a class of filtrations, means that the homology of a space does not depend on the choice of filtration in the specified class.
