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arXiv:1805.07184 [math.AT]AbstractReferencesReviewsResources

Cellular $E_k$-algebras

Soren Galatius, Alexander Kupers, Oscar Randal-Williams

Published 2018-05-18Version 1

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.

Categories: math.AT
Subjects: 57R90, 57R15, 57R56, 55P47
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