Last Updated
：2025/11/22
fundamental group
（ plural ）
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(topology) For a specified topological space, the group whose elements are homotopy classes of loops (images of some arbitrary closed interval whose endpoints are both mapped to a designated point) and whose group operation is concatenation.
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fundamental group
The fundamental group of a topological space captures information about its loops up to homotopy and is a key invariant in algebraic topology.
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The fundamental group of a topological space captures information about its loops up to homotopy and is a key invariant in algebraic topology.
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