Topology and its Applications 124 (2002) 47–67 Products and adjunctions of manifold stratified spaces ✩

Basic topological constructions of manifold stratified spaces and stratified approximate fibrations are studied. These include products of manifold stratified spaces, products and compositions of stratified approximate fibrations and Euclidean stabilization of stratified approximate fibrations. The main result shows that the adjunction of two manifold stratified spaces via a manifold stratified approximate fibration is a manifold stratified space