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arxiv: 2306.05230 · v3 · pith:SPAREP76new · submitted 2023-06-08 · 🧮 math.AT · math.CO

Relations among higher Whitehead maps

Jelena Grbic , George Simmons , Matthew Staniforth This is my paper
classification 🧮 math.AT math.CO
keywords mapsproductswhiteheadhigherpolyhedralpropertiesrelationscombinatorial
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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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