On Pierce-like idempotents and Hopf invariants

Given a set K with cardinality ‖K‖ =n, a wedge decomposition of a space Y indexed by K, and a cogroup A, the homotopy group G=[A,Y] is shown, by using Pierce-like idempotents, to have a direct sum decomposition indexed by P(K)−{ϕ} which is strictly functorial if G is abelian. Given a class ρ:X→Y, th...

Full description

Bibliographic Details
Main Authors: Giora Dula, Peter Hilton
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120330331X