Homotopy Theory of T-algebras over Top-Cat ?

Ilias Amrani

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arXiv · 1205.5376

Homotopy Theory of T-algebras over Top-Cat ?

Ilias Amrani

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Abstract

In this article, we interconnect two different aspects of higher category theory, in one hand the theory of infinity categories and on an other hand the theory of 2-categories.We construct an explicit functorial path objet in the model category of topological categories. We discuss some properties and consequences of such path object. We also explain the construction of a 2-monad which algebras are (symmetric) monoidal topological categories. Finally, we explain the relationship with the eventual model structure on the category of T-algebras.

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Ilias Amrani. 2012-05-24. Homotopy Theory of T-algebras over Top-Cat ?. https://arxiv.org/abs/1205.5376

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