Homological Algebra
Filtration is a mathematical structure used in the study of complexes, where a chain complex is equipped with a sequence of sub-complexes that captures the notion of 'layers' or 'levels' of the complex. This concept allows for the examination of how properties change across different levels, which is essential in the context of spectral sequences. The layers in a filtration facilitate the computation of derived functors and provide insights into the homological properties of the complex.
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