Categorical Properties Of Smooth Unfoldings On Stratified Spaces

Details Categorical Properties Of Smooth Unfoldings On Stratified Spaces Categorical Properties Of Smooth Unfoldings On Stratified Spaces

2009-10-04

arxiv.org/abs/0910.0592v3

Mathematics

Algebraic Topology

17 pages

Scientific paper

In a previous work we proved the uniqueness and functoriality of primary unfoldings on simple Thom-Mather spaces, which is a functor to the category of smooth manifolds. In this article we extend these results for any stratified Thom-Mather pseudomanifold with arbitary finite length, through a new kind of intermediate desingularizations, the unbendings, which coincide with primary unfoldings in the simple case.

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