Geodesic
NEIGHBORHOODS OF STRATA IN MANIFOLD STRATIFIED SPACES
Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 1-28

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DOI

Strata in manifold stratified spaces are shown to have neighborhoods that are teardrops of manifold stratified approximate fibrations (under dimension and compactness assumptions). This is the best possible version of the tubular neighborhood theorem for strata in the topological setting. Applications are given to replacement of singularities, to the structure of neighborhoods of points in manifold stratified spaces, and to spaces of manifold stratified approximate fibrations.
DOI : 10.1017/S0017089503001496
Mots-clés : Primary 57N80, 57N40, Secondary 55R65, 58A35 
HUGHES, BRUCE. NEIGHBORHOODS OF STRATA IN MANIFOLD STRATIFIED SPACES. Glasgow mathematical journal, Tome 46 (2004) no. 1, pp. 1-28. doi: 10.1017/S0017089503001496
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