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Higher Homotopy Operations

David Blanc·Martin Markl
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Abstract

We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operations are defined in terms of the W-construction of Boardman and Vogt, applied to the appropriate diagram category; we also show how some classical families of polyhedra (including simplices, cubes, associahedra, and permutahedra) arise in this way.

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David Blanc, Martin Markl. 2002-07-10. Higher Homotopy Operations. https://arxiv.org/abs/math/0207082

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