Relations among higher Whitehead maps

Fuente: arXiv
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Bibliographic Details
Main Authors: Grbic, Jelena, Simmons, George, Staniforth, Matthew
Format: Preprint
Published: 2023
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author Grbic, Jelena
Simmons, George
Staniforth, Matthew
author_facet Grbic, Jelena
Simmons, George
Staniforth, Matthew
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_05230
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Relations among higher Whitehead maps
Grbic, Jelena
Simmons, George
Staniforth, Matthew
Algebraic Topology
Combinatorics
55Q05, 55Q15 (Primary)
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.
title Relations among higher Whitehead maps
topic Algebraic Topology
Combinatorics
55Q05, 55Q15 (Primary)
url https://arxiv.org/abs/2306.05230