Algebraic Topology
The abelian property refers to a characteristic of a mathematical structure, typically a group, where the operation is commutative. This means that for any two elements, the result of combining them does not depend on the order in which they are combined, or mathematically, if 'a' and 'b' are elements of the group, then 'a * b = b * a'. This property is significant in understanding the structure of groups and has implications for the fundamental group, which is a way of classifying topological spaces based on their loops.
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