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Homotopical algebra is not concrete
Autoři | |
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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. |
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