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A note on stable recollements

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

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.

fields

math.AT 2

years

2021 1 2019 1

verdicts

UNVERDICTED 2

representative citing papers

Recollements and stratification

math.AT · 2021-10-13 · unverdicted · novelty 6.0

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

An Introduction to Higher Categorical Algebra

math.AT · 2019-07-05 · unverdicted · novelty 0.0

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

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Showing 2 of 2 citing papers.

  • Recollements and stratification math.AT · 2021-10-13 · unverdicted · none · ref 5 · internal anchor

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

  • An Introduction to Higher Categorical Algebra math.AT · 2019-07-05 · unverdicted · none · ref 9 · internal anchor

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