| dc.contributor.author | Barwick, Clark Edward | |
| dc.date.accessioned | 2017-05-26T16:11:13Z | |
| dc.date.available | 2017-05-26T16:11:13Z | |
| dc.date.issued | 2015-08 | |
| dc.identifier.issn | 0010-437X | |
| dc.identifier.issn | 1570-5846 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/109376 | |
| dc.description.abstract | The new homotopy theory of exact∞-categories is introduced and employed to prove a Theorem of the Heart for algebraic K-theory (in the sense of Waldhausen). This implies a new compatibility between Waldhausen KK-theory and Neeman K-theory. Additionally, it provides a new proof of the Dévissage and Localization theorems of Blumberg–Mandell, new models for the G-theory of schemes, and a proof of the invariance of G-theory under derived nil-thickenings. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Cambridge University Press | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1112/S0010437X15007447 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | On exact ∞-categories and the Theorem of the Heart | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Barwick, Clark. “On exact ∞-categories and the Theorem of the Heart.” Compositio Mathematica, vol. 151, no. 11, 2015, pp. 2160–2186. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Barwick, Clark Edward | en_US |
| dc.contributor.mitauthor | Barwick, Clark Edward | |
| dc.relation.journal | Compositio Mathematica | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Barwick, Clark | en_US |
| dspace.embargo.terms | N | en_US |
| mit.license | OPEN_ACCESS_POLICY | en_US |
