The cohomology ring is an algebraic structure that combines the concepts of cohomology and ring theory, specifically capturing how topological spaces can be studied through algebraic invariants. It consists of the cohomology groups of a topological space, which are equipped with a ring structure via the cup product, allowing for the combination of cohomology classes. This structure is crucial in various applications across algebra and topology, providing insight into the relationships between different spaces and their properties.
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