Algebraic Topology · Problem 3E.3

Cohomology — Allen Hatcher

Mathematics — Topology · bockstein-smash-product-moore-space

Problem

Let XX be the smash product of kk copies of a Moore space M(Zp,n)M(\mathbb{Z}_p, n) with pp prime. Compute the Bockstein homomorphisms in H∗(X;Zp)H^*(X; \mathbb{Z}_p) and use this to describe H∗(X;Z)H^*(X; \mathbb{Z}).

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