Relations among higher Whitehead maps

George Simmons; Jelena Grbic; Matthew Staniforth

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arxiv 2306.05230 v3 pith:SPAREP76 submitted 2023-06-08 math.AT math.CO

Relations among higher Whitehead maps

Jelena Grbic , George Simmons , Matthew Staniforth This is my paper

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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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