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...
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called Thom spaces, characteristic classes, cobordism theory, and the Thom transversality theorem. Another example of this line of work is the Thom conjecture...
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periodicity theorem (homotopy theory) Brown's representability theorem (homotopy theory) Cellular approximation theorem (algebraic topology) Dold–Thom theorem (algebraic...
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the James reduced product. One of its essential applications is the Dold-Thom theorem, stating that the homotopy groups of the infinite symmetric product...
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Albrecht Dold (5 August 1928 – 26 September 2011) was a German mathematician specializing in algebraic topology who proved the Dold–Thom theorem, the Dold–Kan...
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Algebraic topology (section Important theorems)
point theorem Cellular approximation theorem Dold–Thom theorem Eilenberg–Ganea theorem Eilenberg–Zilber theorem Freudenthal suspension theorem Hurewicz...
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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...
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Homotopy theory (section Key theorems)
instance higher homotopy groups are abelian. Universal coefficient theorem Dold–Thom theorem See also: Characteristic class, Postnikov tower, Whitehead torsion...
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of the Dold–Thom 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 Dold–Thom theorem. Eckmann–Hilton...
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result is a generalization of the Dold–Thom theorem, which can be thought of as the k=0 case of Almgren's theorem. Existence of non-trivial homotopy...
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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...
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Algebraic Topology. NY: Cambridge University Press. ISBN 0-521-79160-X. Dold, Albrecht; Thom, René (1958). "Quasifaserungen und Unendliche Symmetrische Produkte"...
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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