Homotopical algebra is not concrete

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Authors

DI LIBERTI Ivan LOREGIAN Fosco

Year of publication 2018
Type Article in Periodical
Magazine / Source Journal of Homotopy and Related Structures
MU Faculty or unit

Faculty of Science

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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