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Spectral sequence
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=== Homotopy theory === * [[Adams spectral sequence]] in [[stable homotopy theory]] *[[Adams–Novikov spectral sequence]], a generalization to [[extraordinary cohomology theory|extraordinary cohomology theories]]. *[[Barratt spectral sequence]] converging to the homotopy of the initial space of a cofibration. *[[Bousfield–Kan spectral sequence]] converging to the homotopy colimit of a functor. *[[Chromatic spectral sequence]] for calculating the initial terms of the [[Adams–Novikov spectral sequence]]. *[[Cobar spectral sequence]] *[[EHP spectral sequence]] converging to [[stable homotopy groups of spheres]] *[[Federer spectral sequence]] converging to homotopy groups of a function space. *[[Homotopy fixed point spectral sequence]]<ref>{{cite journal |arxiv=math/0406081|first1=Robert R. |last1=Bruner |first2=John |last2=Rognes |title=Differentials in the homological homotopy fixed point spectral sequence |journal=Algebr. Geom. Topol. |volume=5 |issue=2 |date=2005 |pages=653–690 |doi=10.2140/agt.2005.5.653 |doi-access=free}}</ref> *[[Hurewicz spectral sequence]] for calculating the homology of a space from its homotopy. *[[Miller spectral sequence]] converging to the mod ''p'' stable homology of a space. *[[Milnor spectral sequence]] is another name for the [[bar spectral sequence]]. *[[Moore spectral sequence]] is another name for the bar spectral sequence. *[[Quillen spectral sequence]] for calculating the homotopy of a simplicial group. *[[Rothenberg–Steenrod spectral sequence]] is another name for the bar spectral sequence. *[[van Kampen spectral sequence]] for calculating the homotopy of a wedge of spaces.
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