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arXiv · 1807.11877

Quillen-Segal algebras and Stable homotopy theory

Hugo Bacard
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Abstract

Let $\mathscr{M}$ be a monoidal model category that is also combinatorial and left proper. If $\mathscr{O}$ is a monad, operad, properad, or a PROP; following Segal's ideas we develop a theory of Quillen-Segal $\mathscr{O}$-algebras and show that we have a Quillen equivalence between usual $\mathscr{O}$-algebras and Quillen-Segal algebras. We use this theory to get the stable homotopy category by a similar method as Hovey.

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Hugo Bacard. 2018-07-27. Quillen-Segal algebras and Stable homotopy theory. https://arxiv.org/abs/1807.11877

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