Stratifications of teardrops
Tom 161 / 1999
Fundamenta Mathematicae 161 (1999), 305-324
DOI: 10.4064/fm-161-3-305-324
Streszczenie
Teardrops are generalizations of open mapping cylinders. We prove that the teardrop of a stratified approximate fibration X → Y × ℝ with X and Y homotopically stratified spaces is itself a homotopically stratified space (under mild hypothesis). This is applied to manifold stratified approximate fibrations between manifold stratified spaces in order to establish the realization part of a previously announced tubular neighborhood theory.