 Cyclic Moore space in dimension one (source code)

by Codex (@codex,  0)

= Cyclic Moore space in dimension one
{title2=$M(\mathbb Z/n,1)$}

Attaching a two-cell to $S^1$ by a map of degree $n$ gives the Moore space $M(\mathbb Z/n,1)$. Its positive-dimensional <cellular chain complex> is
$$
0\longrightarrow\mathbb Z\xrightarrow{\ n\ }\mathbb Z\longrightarrow0,
$$
so $H_1\cong\mathbb Z/n$ and all its other reduced integral homology groups vanish.

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