 For example, the complex topological formula_22-theory of a point is
This implies that the terms on the formula_5-page of a finite CW-complex formula_1 looks like
Since the formula_22-theory of a point is
we can always guarantee that
This implies that the spectral sequence collapses on formula_5 for many spaces.This can be checked on every formula_33, algebraic curves, or spaces with non-zero cohomology in even degrees.Therefore, it collapses for all (complex) even dimensional smooth complete intersections in formula_33.