Talk:Adams spectral sequence

Todo

Follow Fomenko-Fuchs construction in homotopical topology to get Adams spectral sequence (page 429)

Notation: $X|_{n+1}$ corresponds to the space where (page 365)

$\pi _{q}(X|_{n+1})={\begin{cases}\pi _{q}(X)&q>n\\0&q\leq n\end{cases}}$

fibration

$X|_{n+1}\to X\to K(\pi _{n}(X),n)$

Also

$X|_{n+1}\xrightarrow {K(\pi ,n-1)} X$

is the fibration

$K(\pi _{n}(X),n-1)\to X_{n+1}\to X$