the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of the...
53 KB (8,076 words) - 07:10, 6 August 2024
The étale or algebraic fundamental group is an analogue in algebraic geometry, for schemes, of the usual fundamental group of topological spaces. In algebraic...
11 KB (1,679 words) - 16:57, 1 August 2024
In mathematics, the fundamental group scheme is a group scheme canonically attached to a scheme over a Dedekind scheme (e.g. the spectrum of a field or...
11 KB (1,710 words) - 13:23, 8 June 2024
The Fundamental Fysiks Group was founded in San Francisco in May 1975 by two physicists, Elizabeth Rauscher and George Weissmann, at the time both graduate...
11 KB (1,335 words) - 17:00, 14 April 2024
rap group Fundamental (Bonnie Raitt album), 1998 Fundamental (Pet Shop Boys album), 2006 Fundamental (Puya album) or the title song, 1999 Fundamental (Mental...
2 KB (245 words) - 22:32, 4 February 2024
expresses the structure of the fundamental group of a topological space X {\displaystyle X} in terms of the fundamental groups of two open, path-connected...
20 KB (3,357 words) - 22:16, 5 June 2024
than 0. It encodes not only the topology of the surface through its fundamental group but also determines the Riemann surface up to conformal equivalence...
43 KB (5,995 words) - 15:05, 31 March 2024
> 2 the fundamental group of SO(n, R) is cyclic of order 2, and the spin group Spin(n) is its universal cover. For n = 2 the fundamental group is infinite...
56 KB (7,844 words) - 08:45, 30 June 2024
theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite-dimensional representation of a semisimple Lie group or Lie algebra...
3 KB (475 words) - 08:23, 28 August 2022
Galois correspondence between covering spaces and subgroups of the fundamental group. Most “nice” spaces such as manifolds and CW complexes are semi-locally...
4 KB (510 words) - 23:47, 26 October 2022