Spectral sequences of operad algebras

Mathematics – Algebraic Topology

Scientific paper

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30 pages, submitted to Homology, Homotopy and Applications

Scientific paper

We identify conditions under which it is guaranteed that an action of an
operad on the $E^2$ page of a spectral sequence passes to $E^r$ for $r\ge 2$
and hence to the $E^\infty$ page. We consider this question in both the purely
algebraic and topological settings.

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