Abstract
We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category V. The first theorem resembles the Freyd representability theorem, and the second theorem is closer to the Brown representability theorem. As an application we discuss a recognition principle for mapping spaces.
| Original language | American English |
|---|---|
| Pages (from-to) | 1363-1372 |
| Number of pages | 10 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 148 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2020 |
Keywords
- Bousfield localization
- Mapping spaces
- Model category
- Noncofibrantly generated
- Representable functors
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- General Mathematics
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