Maps Between Spectral Sequences

Sometimes, instead of understanding the spectral sequence of the cochain complex of interest, one succeeds in analyzing the one that is in some sense 

In fact, one can show that spectral sequences together with morphisms between them form a category. 

The standard situation in which a morphism between spectral sequences arises is that in which we have a map between the underlying CW complexes 

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A cellular map between filtered CW complexes that respects the filtration induces a morphism between the spectral sequences that are defined by these figurations. 

Application of 2D correlation analysis effectively sorted out the spectral intensity variation of HDPE induced even well below its T. A sequence of the event induced by the increasing temperature was detected to show an apparent additional step in the transformation between the crystals and the amorphous component, namely, the possible partial fusion of the less ordered small crystals of HDPE induced below its was suggested from the patterns appearing in the 2D correlation maps. 

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