n-relative categories: a model for the homotopy theory of n-fold homotopy theories
We introduce, for every integer n ≥ 1, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e., homotopy theories of… homotopy theories.
| Main Authors: | , |
|---|---|
| 其他作者: | |
| 格式: | 文件 |
| 语言: | en_US |
| 出版: |
International Press of Boston, Inc.
2014
|
| 在线阅读: | http://hdl.handle.net/1721.1/92424 |
| _version_ | 1826201350484000768 |
|---|---|
| author | Kan, D. M. Barwick, Clark Edward |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kan, D. M. Barwick, Clark Edward |
| author_sort | Kan, D. M. |
| collection | MIT |
| description | We introduce, for every integer n ≥ 1, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e., homotopy theories of… homotopy theories. |
| first_indexed | 2024-09-23T11:50:14Z |
| format | Article |
| id | mit-1721.1/92424 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:50:14Z |
| publishDate | 2014 |
| publisher | International Press of Boston, Inc. |
| record_format | dspace |
| spelling | mit-1721.1/924242022-10-01T06:20:44Z n-relative categories: a model for the homotopy theory of n-fold homotopy theories Kan, D. M. Barwick, Clark Edward Massachusetts Institute of Technology. Department of Mathematics Barwick, Clark Edward Kan, D. M. We introduce, for every integer n ≥ 1, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e., homotopy theories of… homotopy theories. 2014-12-19T21:07:03Z 2014-12-19T21:07:03Z 2013-12 2013-02 Article http://purl.org/eprint/type/JournalArticle 15320073 15320081 http://hdl.handle.net/1721.1/92424 Barwick, C., and D. M. Kan. “n-Relative Categories: a Model for the Homotopy Theory of n-Fold Homotopy Theories.” Homology, Homotopy and Applications 15, no. 2 (2013): 281–300. en_US http://dx.doi.org/10.4310/HHA.2013.v15.n2.a17 Homology, Homotopy and Applications Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf International Press of Boston, Inc. arXiv |
| spellingShingle | Kan, D. M. Barwick, Clark Edward n-relative categories: a model for the homotopy theory of n-fold homotopy theories |
| title | n-relative categories: a model for the homotopy theory of n-fold homotopy theories |
| title_full | n-relative categories: a model for the homotopy theory of n-fold homotopy theories |
| title_fullStr | n-relative categories: a model for the homotopy theory of n-fold homotopy theories |
| title_full_unstemmed | n-relative categories: a model for the homotopy theory of n-fold homotopy theories |
| title_short | n-relative categories: a model for the homotopy theory of n-fold homotopy theories |
| title_sort | n relative categories a model for the homotopy theory of n fold homotopy theories |
| url | http://hdl.handle.net/1721.1/92424 |
| work_keys_str_mv | AT kandm nrelativecategoriesamodelforthehomotopytheoryofnfoldhomotopytheories AT barwickclarkedward nrelativecategoriesamodelforthehomotopytheoryofnfoldhomotopytheories |