On Generalized Whitehead Products

TL;DR

This paper introduces a generalized Whitehead product for co-H spaces using a symmetric monoidal pairing, extending classical Whitehead product concepts to a broader class of spaces.

Contribution

It defines a new symmetric monoidal pairing among co-H spaces and generalizes the Whitehead product map within this context.

Findings

Established a symmetric monoidal pairing for co-H spaces

Generalized the Whitehead product map to co-H spaces

Provided a framework for further algebraic topology research

Abstract

A symmetric monoidal pairing is defined among simply connected co-H spaces and this is used to generalize the Whitehead product map S(X ^ Y) --> SX v SY to co-H spaces.