Classifying spaces of infinity-sheaves
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2019
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| _version_ | 1866916629152006144 |
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| author | Berwick-Evans, Daniel de Brito, Pedro Boavida Pavlov, Dmitri |
| author_facet | Berwick-Evans, Daniel de Brito, Pedro Boavida Pavlov, Dmitri |
| contents | We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-principle in which the role of isotopy is played by concordance. As an application, we offer an answer to the question: what does the classifying space of a Segal space classify? |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_10544 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Classifying spaces of infinity-sheaves Berwick-Evans, Daniel de Brito, Pedro Boavida Pavlov, Dmitri Algebraic Topology Category Theory K-Theory and Homology 55N30, 57R19, 55N20, 18G60, 22A22, 18F10, 18F20, 14D23, 14A20, 58D27, 58D29, 14D22, 55R35 (Primary), 55U35, 18G55, 14F42, 55R65 (Secondary) We prove that the set of concordance classes of sections of an infinity-sheaf on a manifold is representable, extending a theorem of Madsen and Weiss. This is reminiscent of an h-principle in which the role of isotopy is played by concordance. As an application, we offer an answer to the question: what does the classifying space of a Segal space classify? |
| title | Classifying spaces of infinity-sheaves |
| topic | Algebraic Topology Category Theory K-Theory and Homology 55N30, 57R19, 55N20, 18G60, 22A22, 18F10, 18F20, 14D23, 14A20, 58D27, 58D29, 14D22, 55R35 (Primary), 55U35, 18G55, 14F42, 55R65 (Secondary) |
| url | https://arxiv.org/abs/1912.10544 |