Fundamental group

Noun

Definitions

1.NounFor 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.

Synonyms

mapping class group topological group algebraic fundamental group homotopy paratopological group profinite group homology group homology locally compact group cycle group group functor lie group

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