Homotopy limits of model categories, revisited
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909406579392512 |
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| author | Bergner, Julia E. |
| author_facet | Bergner, Julia E. |
| contents | The definition of the homotopy limit of a diagram of left Quillen functors of model categories has been useful in a number of applications. In this paper we review its definition and summarize some of these applications. We conclude with a discussion of why we could work with right Quillen functors instead, but cannot work with a combination of the two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homotopy limits of model categories, revisited Bergner, Julia E. Algebraic Topology Category Theory Primary: 55U40, Secondary: 55U35, 18G55, 18G30, 18D20 The definition of the homotopy limit of a diagram of left Quillen functors of model categories has been useful in a number of applications. In this paper we review its definition and summarize some of these applications. We conclude with a discussion of why we could work with right Quillen functors instead, but cannot work with a combination of the two. |
| title | Homotopy limits of model categories, revisited |
| topic | Algebraic Topology Category Theory Primary: 55U40, Secondary: 55U35, 18G55, 18G30, 18D20 |
| url | https://arxiv.org/abs/2411.18546 |