Given a functor T: C → D carrying a class of morphisms S ⊂ C into a class S' ⊂ D, we give sufficient conditions for T to induce an equivalence on the localised categories. These conditions are in the spirit of Quillen's Theorem A. We give some applications in algebraic and birational geometry.
Homology, Homotopy and Applications, Vol. 9 (2007), No. 2, pp.137-161.
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