Cellular E_k-algebras

2018/05/18 by Galatius, Soren, Kupers, Alexander, Randal-Williams, Oscar
#55P47 #57R15 #57R56 #57R90 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.07184

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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