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arxiv: 1607.02064 · v1 · pith:QP66XSXOnew · submitted 2016-07-07 · 🧮 math.CT · math.AG

A note on stable recollements

Clark Barwick , Saul Glasman This is my paper
classification 🧮 math.CT math.AG
keywords fullrecollementstablealongcoreflectivedataequivalencesetude
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In this short \'etude, we observe that the full structure of a recollement on a stable infinity-category can be reconstructed from minimal data: that of a reflective and coreflective full subcategory. The situation has more symmetry than one would expect at a glance. We end with a practical lemma on gluing equivalences along a recollement.

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Cited by 2 Pith papers

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    Establishes gluing formula for recollements in infinity-categories and proves equivalence between P-stratified infinity-topoi and toposic locally cocartesian fibrations over P^op.

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    A survey of symmetric monoidal stable infinity-categories, spectra, ring spectra, modules, localization, and the cotangent complex drawn from Lurie's Higher Algebra.