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Homotopy theory of symmetric powers

Pavlov, Dmitri ; Scholbach, Jakob



Abstract

We introduce the symmetricity notions of symmetric hmonoidality, symmetroidality, and symmetric flatness. As shown in our paper [PS14a], these properties lie at the heart of the homotopy theory of colored symmetric operads and their algebras. In particular, the former property can be seen as the analog of Schwede and Shipley's monoid axiom for algebras over symmetric operads and allows one to ...

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