Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces [Paperback]

This is a monograph that details the use of Siegels method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties of Whitehead products, the authors also determine some Whitehead center groups of projective spaces that are relevant and new within this monograph.

Introduction.- Gottlieb groups of Spheres.- Gottlieb and Whitehead Center Groups of Projective Spaces.- Gottlieb and Whitehead Center Groups of Moore Spaces.

(1) Marek Golasinski Institute of Mathematics Casimir the Great University pl. Weyssenhoffa 11 85-07 2 Bydgoszcz, Poland e-mail: marek@ukw.edu.pl (2) Juno Mukai Shinshu University Matsumoto, Nagano Pref. 390-8621, Japan e-mail:?jmukai@shinshu-u.ac.jp

This is a monograph that details the use of Siegels method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties of Whitehead products, the authors also determine some Whitehead center groups of projective spaces that are relevant and new within this monograph.

Presents a systematic study of Gottlieb Groups of Spheres

Uses classical methods of homotopy theory and Lie groups to develop new theories on Gottlieb Projective Spaces

Contains a number of nontrivial results in classical homotopy theory useful for people working not only in algebraic topology but in other areas of mathematics as well

GB