User:Hillgentleman/spectral sequence


 * $$E^{p,q}_r$$ - differential bigraded vector spaces
 * $$d_r:E^{p,q}_r \longrightarrow E^{p+r,q+1-r}_r$$
 * $$d_r \cdot d_r =0 $$
 * $$E^{p,q}_{r+1} = \frac{Ker d_r : E^{p,q}_r \rightarrow E^{p+r,q+1-r}_r }{ Im d_r : E^{p-r,q-1+r}_r \rightarrow E^{p,q}_r} $$


 * graded/bigraded algebra
 * differential graded algebra
 * differential bigraded algebra