Acyclic Model Theorem

196 Views Asked by At

I am looking for some applications of the Acyclic Model Theorem. I have only noticed its application to Alexander-Whiteny chain morphism $S_*(X\times Y)\to S_*(X)\otimes S_*(Y)$. Can anyone suggest more applications of this? Thanks in advance.

1

There are 1 best solutions below

2
On BEST ANSWER
  • The Künneth theorem

  • Homotopy invariance of homology

  • The fact that barycentric subdivision is chain homotopic to the identity map on singular chains