Spectral sequences

ID: spectral-sequences

Spectral sequences are a powerful mathematical tool used primarily in algebraic topology, homological algebra, and algebraic geometry. They provide a systematic method for computing homology groups, cohomology groups, or other related invariants of topological spaces or algebraic objects. ### Definition and Construction A spectral sequence consists of a sequence of pages (or terms), each represented as a collection of abelian groups or modules, along with differentials that relate these groups across the pages.

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