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A relative H-principle Via Cobordism-like categories
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Dotto, Emanuele (2014) A relative H-principle Via Cobordism-like categories. Contemporary Mathematics, 617 . doi:10.1090/conm/617 ISSN 0271-4132.
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WRAP-relative-H-principle-via-Cobordism-like-categories-Dotto-2014.pdf - Accepted Version - Requires a PDF viewer. Download (626Kb) | Preview |
Official URL: http://dx.doi.org/10.1090/conm/617
Abstract
We prove an h-principle with boundary condition for a certain class of sheaves Ψ: Embop d −→ T op. The techniques used in the proof come from the study of the homotopy type of cobordism categories, and they are of simplicial and categorical nature. Applying the main result of this paper we recover the homotopy equivalence BCk,d ' Ωd−1T h(γ⊥ k,d) of Galatius, Madsen, Tillmann, Weiss.
Item Type: | Journal Article | |||||||||
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Subjects: | Q Science > QA Mathematics | |||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Geometry, Differential, Differentiable manifolds, Differential equations -- Numerical solutions, Cobordism theory | |||||||||
Journal or Publication Title: | Contemporary Mathematics | |||||||||
Publisher: | American Mathematical Society | |||||||||
ISBN: | 9780821891452 | |||||||||
ISSN: | 0271-4132 | |||||||||
Official Date: | 2014 | |||||||||
Dates: |
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Volume: | 617 | |||||||||
DOI: | 10.1090/conm/617 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Reuse Statement (publisher, data, author rights): | First published in Contemporary Mathematics, 617. Published by the American Mathematical Society. © Copyright 2019, American Mathematical Society | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Date of first compliant deposit: | 17 September 2019 | |||||||||
Date of first compliant Open Access: | 19 September 2019 | |||||||||
RIOXX Funder/Project Grant: |
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