Word.ws English Dictionary

fundamental groups

fundamental groups is the plural of fundamental group.

Meaning of fundamental group

Noun

fundamental group (plural fundamental groups)

  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.
    • From the definition it will be clear the group is a topological invariant of X; i.e., if two spaces are homeomorphic, their fundamental groups are isomorphic.1991, William S. Massey, A Basic Course in Algebraic Topology, Springer, page 35

Questions about fundamental groups

What is fundamental groups the plural of?
Fundamental groups is the plural of fundamental group.

Words near fundamental groups in the dictionary

  1. fundamental force
  2. fundamental forces
  3. fundamental frequencies
  4. fundamental frequency
  5. fundamental group
  6. fundamental groups
  7. fundamental interaction
  8. fundamental interactions
  9. fundamental niche
  10. fundamental niches
  11. fundamental painting

Source and license

Adapted from Wiktionary: fundamental groups (page history and authors); fundamental group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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