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- W2968915136 abstract "Given a locally presentable category together with a suitable functorial cylinder object, we construct model structures which are sensitive to the `direction' of the cylinder. We show that the Covariant and Contravariant model structures on simplicial sets as well as the coCartesian and Cartesian model structures on marked simplicial sets are examples of our formalism. In this setting, notions of final and initial maps and smooth and proper maps arise very naturally and we will identify these maps in the examples." @default.
- W2968915136 created "2019-08-22" @default.
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- W2968915136 date "2019-08-19" @default.
- W2968915136 modified "2023-09-27" @default.
- W2968915136 title "Covariant & Contravariant Homotopy Theories" @default.
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