Singular cobordism categories
Algebraic Topology
2010-01-29 v2 Category Theory
Abstract
Recently Galatius, Madsen, Tillmann and Weiss identified the homotopy type of the classifying space of the cobordism category of embedded d-dimensional manifolds [7] for each positive integer d. Their result lead to a new proof of the generalized standard Mumford conjecture. We extend the main theorem of [7] to the case of cobordism categories of embedded d-dimensional manifolds with prescribed singularities, and explain the relation of singular cobordism categories to the bordism version of the Gromov h-principle.
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Cite
@article{arxiv.0804.1267,
title = {Singular cobordism categories},
author = {Rustam Sadykov},
journal= {arXiv preprint arXiv:0804.1267},
year = {2010}
}
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37 pages