On the higher Whitehead product
Marek Golasi\'nski, Thiago de Melo
TL;DR
This paper explores properties of higher order Whitehead products using Porter's approach, extending known results for triple products and contributing to algebraic topology theory.
Contribution
It introduces new properties of higher order Whitehead products derived through Porter's method, expanding understanding beyond triple products.
Findings
Derived properties of higher Whitehead products
Extended results similar to triple product properties
Enhanced theoretical framework for Whitehead products
Abstract
The Porter's approach (G.\ J.\ Porter, \textit{Higher order Whitehead products}, Topology \textbf{3} (1965), 123--135.) is used to derive some properties of higher order Whitehead products, similar to those ones for triple products obtained by Hardie in K.\ A.\ Hardie, \textit{On a construction of E.\ C.\ Zeeman}, Journal London Math.\ Soc.\ \textbf{35} (1960), 452--464.
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