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Dold–Thom theorem

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In algebraic topology, the Dold–Thom theorem, proved by Albrecht Dold and Thom (1956, 1958), states that the homotopy group πi(SP(X)) of the infinite symmetric product SP(X) of X is the homology Hi(X,Z) of the singular complex of the suspension of "X".

References

  • Dold, Albrecht; Thom, René (1956), "Une généralisation de la notion d'espace fibré. Application aux produits symétriques infinis", Les Comptes rendus de l'Académie des sciences, 242: 1680–1682, MR 0077121
  • Dold, Albrecht; Thom, René (1958), "Quasifaserungen und unendliche symmetrische Produkte", Annals of Mathematics. Second Series, 67: 239–281, ISSN 0003-486X, JSTOR 1970005, MR 0097062
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