James reduced product

James reduced product is a construction in algebraic topology, specifically in the context of homotopy theory. It is named after the mathematician I. M. James, who introduced it in his work on fiber spaces and homotopy groups. The James reduced product addresses the issue of a certain type of product in the category of pointed spaces (spaces with a distinguished base point), particularly when working with spheres. The concept is useful when studying the stable homotopy groups of spheres.