Homotopy group with coefficients

In topology, a branch of mathematics, for $i \ge 2$, the ''i''-th homotopy group with coefficients in an abelian group ''G'' of a based space ''X'' is the pointed set of homotopy classes of based maps from the Moore space of type $(G, i)$ to ''X'', and is denoted by $\pi_i(X; G)$. For $i \ge 3$, $\pi_i(X; G)$ is a group. The groups $\pi_i(X; \Z)$ are the usual homotopy groups of ''X''.

References

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Algebraic topology
Homotopy theory

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