English Explanatory Dictionary

fundamental group

English dictionary entry

Meanings

noun
  1. 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.

Word forms

fundamental group fundamental groups

Related words

fundamental groupoid

Derived words

algebraic fundamental group étale fundamental group orbifold fundamental group
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