Resolutions of p–stratifolds with isolated singularities

Abstract

Recently M Kreck introduced a class of stratified spaces called p–stratifolds [M Kreck, Stratifolds, Preprint]. He defined and investigated resolutions of p–stratifolds analogously to resolutions of algebraic varieties. In this note we study a very special case of resolutions, so called optimal resolutions, for p–stratifolds with isolated singularities. We give necessary and sufficient conditions for existence and analyze their classification.