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Stratifications of teardrops

Tom 161 / 1999

Bruce Hughes 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.

Autorzy

  • Bruce Hughes

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