# Dold–Thom theorem

In algebraic topology, the Dold–Thom theorem, proved by Albrecht Dold and René Thom (1956, 1958), states that the homotopy group πi(SP(X)) of the infinite symmetric product SP(X) of a connected CW complex X is the i-th singular reduced homology group of X, usually denoted by ${\displaystyle {\widetilde {H}}_{i}(X;\mathbb {Z} )}$.[1]

## References

Specific
1. ^ "Dold-Thom theorem in nLab". ncatlab.org. Retrieved 2017-08-23.