Homotopy-theoretic aspects of 2-monads

Stephen Lack

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Homotopy-theoretic aspects of 2-monads

Stephen Lack

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Abstract

We study 2-monads and their algebras using a Cat-enriched version of Quillen model categories, emphasizing the parallels between the homotopical and 2-categorical points of view. Every 2-category with finite limits and colimits has a canonical model structure in which the weak equivalences are the equivalences; we use these to construct more interesting model structures on 2-categories, including a model structure on the 2-category of algebras for a 2-monad T, and a model structure on a 2-category of 2-monads on a fixed 2-category K.

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BibTeX RIS

Stephen Lack. 2006-07-26. Homotopy-theoretic aspects of 2-monads. https://arxiv.org/abs/math/0607646

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