singular homology preserves coproducts

1. Proposition

Let \(X_i\) be a family of topological spaces, then the homology functor preserves categorical coproducts, i.e.

\begin{align*} H_n(\coprod X_i) \cong \coprod H_n(X_i) \end{align*}

are canonically isomorphic

2. Proof

Date: nil

Author: Anton Zakrewski

Created: 2024-10-19 Sa 21:49