The Bockstein homomorphism is a tool in algebraic topology that arises in the context of cohomology with coefficients in a field or ring. It connects the cohomology groups of a space when moving from a certain coefficient group to a larger one, particularly in situations involving mod p coefficients. This homomorphism plays an essential role in understanding the structure of cohomology rings and can be used to derive Adem relations, which are critical in studying the operations on cohomology classes.
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