In *Homology of $C\_{n+1}$-spaces, $n\geq 0$,* F.R. Cohen, *Lecture Notes in Mathematics, Vol. 533,* page 210 (the preface part before contents):


*Line 2:* ... is used to compute the precise algebra structure of $H^\*(F(\mathbb{R}^{n+1},p)/\Sigma\_p;\mathbb{Z}\_p)$;


Is there any theorem in later chapters stating the precise algebra structure? I get lost and have not found the theorem.


Thanks.



cohomology algebra of unordered configuration space on Euclidean space
Yes, it is Theorem 5.2 on page 246. The preceding remarks explain the notation. The proof comes later (in Section 11).


