McCleary User’s Guide to Spectral Sequences (Errata)

Posted on October 16, 2017 by

(pg 455) When an element u\in H_{n-1}(X) satisfies ru=0, then, by exactness, there is an element \mathbf{\bar{u}\in H_n}(X;\mathbb{Z}/r\mathbb{Z}) with \partial(\bar{u})=u. Should be H_n instead of H_{n+1}.

(pg 458) The first differential is given by d^1=\boxed{{\text{red}_p}_*\circ\partial}=\beta. The order in the printed version is incorrect. Note that the first differential should be d^1=j\circ k for the exact couple.

See also Recommended Books for Spectral Sequences.

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