• 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) - 02:07, 28 September 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
  • 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) - 20:16, 27 September 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 (3,360 words) - 07:24, 24 September 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 (1,705 words) - 03:44, 7 September 2024
  • rap group Fundamental (Bonnie Raitt album), 1998 Fundamental (Pet Shop Boys album), 2006 Fundamental (Puya album) or the title song, 1999 Fundamental (Mental...
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  • Thumbnail for Orthogonal group
    > 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
  • 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
  • have the same Betti numbers but distinct fundamental groups. He posed the question of whether the fundamental group is sufficient to topologically characterize...
    44 KB (5,328 words) - 19:24, 9 September 2024
  • 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) - 02:12, 28 September 2024