Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778697 | Advances in Mathematics | 2017 | 126 Pages |
Abstract
We develop a theory of conically smooth stratified spaces and their smooth moduli, including a notion of classifying maps for tangential structures. We characterize continuous space-valued sheaves on these conically smooth stratified spaces in terms of tangential data, and we similarly characterize 1-excisive invariants of stratified spaces. These results are based on the existence of open handlebody decompositions for conically smooth stratified spaces, an inverse function theorem, a tubular neighborhood theorem, an isotopy extension theorem, and functorial resolutions of singularities to smooth manifolds with corners.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
David Ayala, John Francis, Hiro Lee Tanaka,