Dold–Thom theorem
id:
dold-thom-theorem-197-3031730
title:
Dold–Thom theorem
text:
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 as its reduced homology groups. The most common version of its proof consists of showing that the composition of the homotopy group functors with the infinite symmetric product defines a reduced homology theory. One of the main tools used in doing so are quasifibrations. The theorem has been generalised in various ways, for example by the Almgren i
brand slug:
wiki
category slug:
encyclopedia
description:
On the homotopy groups of the infinite symmetric product of a connected CW complex
original url:
https://en.wikipedia.org/wiki/Dold%E2%80%93Thom_theorem
date created:
date modified:
2023-08-13T13:47:15Z
main entity:
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image:
fields total:
13
integrity:
14