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arXiv · 2306.05230

Relations among higher Whitehead maps

Jelena Grbic·George Simmons·Matthew Staniforth
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Abstract

We define generalised higher Whitehead maps between polyhedral products. By investigating the interplay between the homotopy-theoretic properties of polyhedral products and the combinatorial properties of simplicial complexes, we describe new families of relations among these maps, while recovering and generalising known identities among Whitehead products.

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Jelena Grbic, George Simmons, Matthew Staniforth. 2023-06-08. Relations among higher Whitehead maps. https://doi.org/10.1016/j.aim.2026.111129

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