Homotopical algebra is not concrete
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Homotopy and Related Structures |
| MU Faculty or unit | |
| Citation | |
| Web | Full Text |
| Doi | http://dx.doi.org/10.1007/s40062-018-0197-3 |
| Keywords | Concrete category; Homotopical algebra; Model category; Faithful functor |
| Description | 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. |
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