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Stacks and Categories in Geometry, Topology, and Algebra

Stacks and Categories in Geometry, Topology, and Algebra

We define the notion of 1-affineness for a prestack, and prove an array of results that establish 1-affineness of certain types of prestacks.B.1.Fiber products of prestacks vs. tensor products of categories 85 B.2. Fiber products of passable prestacks 86 Appendix C. Beck-Chevalley conditions 87 C.1.Monadic and co-monadic Beck-Chevalley conditions 87 …