= Homological Atiyah-Hirzebruch spectral sequence
{title2=$E^2_{p,q}=\widetilde H_p(X;\pi_qE)$}
The skeletal filtration of a <CW complex> and the <cofiber sequences of spectra> of its cell attachments produce
$$
E^2_{p,q}=\widetilde H_p(X;\pi_qE)\Longrightarrow\widetilde E_{p+q}(X),\qquad d_r:E^r_{p,q}\to E^r_{p-r,q+r-1}.
$$
For a <connective spectrum> it is first quadrant and converges in each fixed total degree. Its reduced version has no contribution from the basepoint summand.
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