Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces

This is a monograph that details the use of Siegel's 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.

List of contents

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

About the author

(1) Marek Golasinski Institute of Mathematics Casimir the Great University pl. Weyssenhoffa 11 85-07 2 Bydgoszcz, Poland e-mail: [e-mail] (2) Juno Mukai Shinshu University Matsumoto, Nagano Pref. 390-8621, Japan e-mail: [e-mail]

Summary

This is a monograph that details the use of Siegel’s 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.

Product details

• Authors: Marek Golasi ski, Marek Golasi¿ski, Mare Golasinski, Marek Golasinski, Marek Golasiński, Juno Mukai
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2014
• EAN: 9783319115160
• ISBN: 978-3-31-911516-0
• No. of pages: 132
• Dimensions: 165 mm x 14 mm x 245 mm
• Weight: 344 g
• Illustrations: XVII, 132 p. 7 illus.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; Algebra, B, Mathematics and Statistics, Discrete Mathematics, Differential Geometry, Discrete geometry, Convex and Discrete Geometry, Convex geometry, Mathematical foundations, Differential & Riemannian geometry, Category theory (Mathematics), Category Theory, Homological Algebra, Homological algebra