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arXiv · 1805.07184

Cellular $E_k$-algebras

Soren Galatius·Alexander Kupers·Oscar Randal-Williams
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Abstract

We give a set of foundations for cellular $E_k$-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for $E_k$-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers.

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Soren Galatius, Alexander Kupers, Oscar Randal-Williams. 2018-05-18. Cellular $E_k$-algebras. https://arxiv.org/abs/1805.07184

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