K-Theory
An abelian group structure is a mathematical framework that defines a set equipped with a binary operation that satisfies certain properties, namely closure, associativity, the existence of an identity element, the existence of inverses, and commutativity. In the context of K-Theory, especially when discussing K(X), abelian groups help describe how vector bundles can be classified and manipulated, allowing for deeper insights into their properties and relationships.
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