The monadic tower for ∞-categories

Lior Yanovski

doi:10.1016/j.jpaa.2021.106975

The monadic tower for ∞-categories

Lior Yanovski

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Article number	106975
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2021.106975
State	Published - Jun 2022
Externally published	Yes

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© 2021 Elsevier B.V.

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10.1016/j.jpaa.2021.106975

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The monadic tower for ∞-categories

Abstract

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