nLab primary homotopy operation

Definition

The primary homotopy operations are the operations generated by

• the Whitehead products;

and

• the composition operations.

Properties

The primary homotopy operations encode via Pi-algebras (see there for more) into an algebraic structure akin to models for a Lawvere theory.

References

• David Blanc: Loop spaces and homotopy operations, Fundamenta Mathematicae 154 1 (1997) 75-95 [arXiv:math/9803055, eudml:212228]