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arxiv: 1102.0186 · v1 · pith:XKKXNOQOnew · submitted 2011-02-01 · 🧮 math.AT · math.CT

n-Relative Categories

classification 🧮 math.AT math.CT
keywords homotopyn-relativetheoriescategoriescategoryeveryintegerintroduce
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We introduce, for every positive integer n, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e. homotopy theories of ... of homotopy theories.

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