Word.ws English Dictionary

fundamental group

fundamental group noun: 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.

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
    • Therein came into focus the far-reaching vision that the perspective of non-abelian fundamental groups could lead to a fundamentally new understanding of deep arithmetic phenomena, including the arithmetic theory of moduli and Diophantine finiteness on hyperbolic curves.2011, John Coates, Minhyong Kim, Florian Pop, Mohamed Saïdi, Peter Schneider, editors, Non-abelian Fundamental Groups and Iwasawa Theory, Cambridge University Press, page vii

fundamental group meaning in Tamil

fundamental group in Tamil

அடிப்படைக் குழு

Forms of fundamental group

pluralfundamental groups

Words formed from fundamental group

Questions about fundamental group

What does fundamental group mean?
Fundamental group means 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.
What is fundamental group in Tamil?
Fundamental group in Tamil is அடிப்படைக் குழு. See Fundamental group meaning in Tamil.
What part of speech is fundamental group?
Fundamental group is a noun.
What is the plural of fundamental group?
The plural of fundamental group is fundamental groups.

Words near fundamental group in the dictionary

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

Source and license

Adapted from Wiktionary: fundamental group (page history and authors); fundamental group (Tamil Wiktionary) (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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