Geodesic
Stratifications of teardrops
Fundamenta Mathematicae, Tome 161 (1999) no. 3, pp. 305-324

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

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.
DOI : 10.4064/fm-161-3-305-324
Keywords: stratified space, teardrop, homotopically stratified space, stratified approximate fibration, mapping cylinder, manifold stratified space 
Bruce Hughes. Stratifications of teardrops. Fundamenta Mathematicae, Tome 161 (1999) no. 3, pp. 305-324. doi: 10.4064/fm-161-3-305-324
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