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arXiv · 0910.0592

Categorical Properties Of Smooth Unfoldings On Stratified Spaces

T. Guardia·G. Padilla
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Abstract

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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T. Guardia, G. Padilla. 2010-04-27. Categorical Properties Of Smooth Unfoldings On Stratified Spaces. https://arxiv.org/abs/0910.0592

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