The approximate tubular neighborhood theorem

DOI10.2307/3597284zbMath1030.57034arXivmath/0501106OpenAlexW2026954976MaRDI QIDQ1860981

Bruce Hughes

Publication date: 22 February 2004

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501106

zbMATH Keywords

subsetsapproximate tubular neighborhoodsmanifold stratified approximate fibrationmanifold stratified spacesmapping cylinder neighbourhoodsteardrop neighbourhoodtubular neighbourhood theorem

Mathematics Subject Classification ID

Generalizations of fiber spaces and bundles in algebraic topology (55R65) Stratified sets (58A35) Stratifications in topological manifolds (57N80) Neighborhoods of submanifolds (57N40)

Related Items (6)

Intersection homology of stratified fibrations and neighborhoods ⋮ Homotopy truncations of homotopically stratified spaces ⋮ Topological bordism of singular spaces and an application to stratified \(\mathrm{L}\)-classes ⋮ Intersection homology and Poincaré duality on homotopically stratified spaces ⋮ Strongly stratified homotopy theory ⋮ Products and adjunctions of manifold stratified spaces

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