• 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) - 16:34, 12 January 2025
  • periodicity theorem (homotopy theory) Brown's representability theorem (homotopy theory) Cellular approximation theorem (algebraic topology) DoldThom theorem (algebraic...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • 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 (3,282 words) - 11:42, 8 December 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) - 20:28, 15 February 2025
  • Thumbnail for Algebraic topology
    point theorem Cellular approximation theorem DoldThom theorem Eilenberg–Ganea theorem Eilenberg–Zilber theorem Freudenthal suspension theorem Hurewicz...
    19 KB (2,093 words) - 02:29, 23 April 2025
  • 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 (1,152 words) - 17:20, 21 April 2025
  • instance higher homotopy groups are abelian. Universal coefficient theorem DoldThom theorem See also: Characteristic class, Postnikov tower, Whitehead torsion...
    24 KB (3,815 words) - 20:55, 8 May 2025
  • 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...
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  •   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 (7,621 words) - 00:34, 3 March 2025
  • 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
  • Theorem 3.5; Dold (1972), Proposition VIII.3.3 and Corollary VIII.3.4. Dold 1972, Propositions IV.8.12 and V.4.11. Hatcher 2001, Theorem 3.11. Thom 1954...
    44 KB (7,049 words) - 20:46, 13 January 2025
  • Algebraic Topology. NY: Cambridge University Press. ISBN 0-521-79160-X. Dold, Albrecht; Thom, René (1958). "Quasifaserungen und Unendliche Symmetrische Produkte"...
    18 KB (3,463 words) - 18:37, 29 September 2024
  • Structure du groupe orthogonal, d'après T. Tamagawa (orthogonal group) Albrecht Dold, Les foncteurs dérivés d'un foncteur non-additif (derived functors) Roger...
    20 KB (2,319 words) - 03:35, 20 March 2024