The Dold-Thom theorem states that the homotopy groups of the infinite symmetric product of a connected CW complex are the same as its reduced homology groups. The theorem · Sketch of the proof · A theorem of Moore

13 июн. 2019 г. · nLab Dold-Thom theorem Thus Sym ( X , e ) is the free topological commutative monoid on X with the basepoint e acting as the unit.

Abstract. We give a proof of the Dold-Thom theorem, following Hatcher [3]. This states that for a connected CW complex X, Hi(X) ∼= πi ◦ SP (X).

7 окт. 2014 г. · By the usual Dold-Kan theorem, the category of connective chain complexes of abelian groups is equivalent to the category of simplicial abelian ... Can one define relative Hurewicz maps using the Dold-Thom ... Using the Dold-Thom Theorem to define \'etale cohomology Другие результаты с сайта mathoverflow.net

27 мар. 2017 г. · The Dold-Thom theorem states that for a sufficiently nice topological space, M, there is an isomorphism between the homotopy groups of the ...

It is my hope to prove the Dold-Thom theorem directly using higher-categorical methods, for example to bypass the technical digression of checking that ...

23 мар. 2012 г. · Say X has the homotopy type of a CW-complex. The Dold-Thom theorem states that πiSP(X)≅˜Hi(X;Z), where SP(X) denotes the infinite symmetric ...

1 сент. 2003 г. · In this note we prove a version of the classical Dold–Thom theorem for the RO(G)-graded equivariant homology functors H ∗ G (−; M ̄ ) ...

The classical Dold-Thom theorem asserts that for every connected poly- hedron X there is an isomorphism between the integral singular homology of X and the ...

Proof of the theorem. The usual way way to prove the Dold-Thom theorem is to show that the functor X 7→ π∗(Symm. ∞. (X,∗)+) satisfies the axioms for a ...