Homotopical algebra is not concrete
| Autoři | |
|---|---|
| Rok publikování | 2018 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Homotopy and Related Structures |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | Full Text |
| Doi | http://dx.doi.org/10.1007/s40062-018-0197-3 |
| Klíčová slova | Concrete category; Homotopical algebra; Model category; Faithful functor |
| Popis | We generalize Freyd's well-known result that " homotopy is not concrete", offering a general method to show that under certain assumptions on a model category M, its homotopy category ho(M) cannot be concrete. This result is part of an attempt to understand more deeply the relation between set theory and abstract homotopy theory. |
| Související projekty: |