Abstract
For a systematic study of 2-Segal spaces it is convenient to work in the more general framework of model categories.
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Notes
- 1.
This convention, naturally suggested by the notation f ⊥ g, is different from that of [Lur09a, A.1.2]. Note that orthogonality connotation suggested by f ⊥ g is quite in line with categorical interpretation of orthogonality as absence of nontrivial morphisms. Indeed, viewing f and g as two-term chain complexes, the lifting property can be read as “each morphism from f to g is null-homotopic.”
- 2.
We are grateful to B. Toën for indicating this elementary way of handling the set-theoretical issues arising in this and the previous examples, instead of using universes as in [TV08].
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Dyckerhoff, T., Kapranov, M. (2019). Model Categories and Bousfield Localization. In: Higher Segal Spaces. Lecture Notes in Mathematics, vol 2244. Springer, Cham. https://doi.org/10.1007/978-3-030-27124-4_4
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