• In algebraic topology, the Dold-Thom theorem states that the homotopy groups of the infinite symmetric product of a connected CW complex are the same...
    15 KB (1,935 words) - 19:23, 16 October 2024
  • Thumbnail for René Thom
    called Thom spaces, characteristic classes, cobordism theory, and the Thom transversality theorem. Another example of this line of work is the Thom conjecture...
    15 KB (1,356 words) - 19:05, 18 August 2024
  • One of the main applications of quasifibrations lies in proving the Dold-Thom theorem. A continuous surjective map of topological spaces p: E → B is called...
    8 KB (1,143 words) - 02:12, 28 September 2024
  • the James reduced product. One of its essential applications is the Dold-Thom theorem, stating that the homotopy groups of the infinite symmetric product...
    23 KB (3,279 words) - 02:12, 28 September 2024
  • Thumbnail for Algebraic topology
    point theorem Cellular approximation theorem DoldThom theorem Eilenberg–Ganea theorem Eilenberg–Zilber theorem Freudenthal suspension theorem Hurewicz...
    19 KB (2,081 words) - 02:07, 28 September 2024
  • instance higher homotopy groups are abelian. Universal coefficient theorem DoldThom theorem See also: Characteristic class, Postnikov tower, Whitehead torsion...
    22 KB (3,794 words) - 17:04, 16 October 2024
  • Thumbnail for Albrecht Dold
    Albrecht Dold (5 August 1928 – 26 September 2011) was a German mathematician specializing in algebraic topology who proved the DoldThom theorem, the Dold–Kan...
    3 KB (215 words) - 11:19, 18 July 2024
  • of the DoldThom theorem, which can be thought of as the k=0 case of Almgren's (1962a (ver. PhD thesis),1962b (ver. Topology (Elsevier)) theorem. The isomorphism...
    5 KB (586 words) - 22:14, 18 July 2024
  • result is a generalization of the DoldThom theorem, which can be thought of as the k=0 case of Almgren's theorem. Existence of non-trivial homotopy...
    7 KB (811 words) - 11:04, 24 June 2024
  •   The de Rham theorem gives an explicit isomorphism between the de Rham cohomology and the singular cohomology. Dold The DoldThom theorem. Eckmann–Hilton...
    52 KB (7,617 words) - 07:50, 2 November 2024