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Homotopy group with coefficients

From Wikipedia, the free encyclopedia

In topology, a branch of mathematics, for , 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 to X, and is denoted by .[1] For , is a group. The groups are the usual homotopy groups of X.

References

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  1. ^ Weibel 2013, Ch. IV. Definition 2.1
  • Weibel, Charles (2013). "The K-book: An introduction to algebraic K-theory".