TY - JOUR
T1 - The monadic tower for ∞-categories
AU - Yanovski, Lior
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2022/6
Y1 - 2022/6
N2 - Every right adjoint functor between presentable ∞-categories is shown to decompose canonically as a coreflection, followed by, possibly transfinitely many, monadic functors. Furthermore, the coreflection part is given a presentation in terms of a functorial iterated colimit. Background material, examples, and the relation to homology localization and completion are discussed as well.[Formula presented] Weltchronik in Versen, Szene: Der Turmbau zu Babel (c. 1370s). Depiction of the construction of the tower of Babel.
AB - Every right adjoint functor between presentable ∞-categories is shown to decompose canonically as a coreflection, followed by, possibly transfinitely many, monadic functors. Furthermore, the coreflection part is given a presentation in terms of a functorial iterated colimit. Background material, examples, and the relation to homology localization and completion are discussed as well.[Formula presented] Weltchronik in Versen, Szene: Der Turmbau zu Babel (c. 1370s). Depiction of the construction of the tower of Babel.
UR - http://www.scopus.com/inward/record.url?scp=85119583192&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2021.106975
DO - 10.1016/j.jpaa.2021.106975
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AN - SCOPUS:85119583192
SN - 0022-4049
VL - 226
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 6
M1 - 106975
ER -