5 problems
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Homological localization analogue of the universal localization theorem
Let be the additive category and the class of maps occurring in Theorem, and let a universal localization be the localization obtained by inverting …
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Hodge localization conjecture for dominant infinitesimal character
Let be a real reductive group, let be its complexified Lie algebra, and let be dominant. Let … be the Hodge global-sectio…
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The conjecture that every infinity-topos models homotopy type theory
An -topos is a higher topos, providing a homotopy-theoretic setting for interpreting dependent type theory. Every-infinity-topos conjecture. Every -topos models hom…
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The telescope conjecture for compactly generated triangulated categories
Let be a compactly generated triangulated category and let be a localization functor that preserves small copro…
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The telescope conjecture for stable homotopy categories
Let a stable homotopy category be given. A localization is smashing when it preserves coproducts, and a localization is finite when it is generated by finite objects in the relevan…