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10 votes
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Why does strong convergence of the EMSS imply that Tot commutes with suspension spectrum?

Given a fiber square of simplicial sets $$\begin{array}{cc} & \hspace{-7mm} E \\ &\hspace{-7mm}\downarrow \\ \ast\longrightarrow &\hspace{-7mm} B \end{array}$$ and a homolo …
Jonathan Beardsley's user avatar
14 votes
0 answers
824 views

What does convergence of a Bousfield-Kan spectral sequence say about the homotopy type of th...

Given a cosimplicial space or spectrum $X^\bullet$, there is an associated Bousfield-Kan spectral sequence. This starts out as the bigraded object obtained by taking homotopy groups of each $X^n$ and …
Jonathan Beardsley's user avatar