Convergence of a spectral sequence
= Convergence of a spectral sequence
{title2=$E_\infty^{p,q}\cong F^pH^{p+q}/F^{p+1}H^{p+q}$}
The stable page identifies the <associated graded module> of a filtration of the abutment. For a finite filtration this is an exhaustive, separated finite extension description. It does not itself determine a canonical splitting. Unbounded filtrations require further convergence hypotheses.