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arXiv · 2108.06801

Deformations of homotopy theories via algebraic theories

William Balderrama
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Abstract

We develop a homotopical variant of the classic notion of an algebraic theory as a tool for producing deformations of homotopy theories. From this, we extract a framework for constructing and reasoning with obstruction theories and spectral sequences that compute homotopical data starting with purely algebraic data.

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William Balderrama. 2021-08-15. Deformations of homotopy theories via algebraic theories. https://arxiv.org/abs/2108.06801

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