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

Autor Marek Golasiński, Juno Mukai
en Limba Engleză Paperback – 22 sep 2016
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.
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Specificații

ISBN-13: 9783319384542
ISBN-10: 3319384546
Pagini: 149
Ilustrații: XVII, 132 p. 7 illus.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.22 kg
Ediția:Softcover reprint of the original 1st ed. 2014
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

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

Notă biografică

(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

Textul de pe ultima copertă

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.

Caracteristici

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 Includes supplementary material: sn.pub/extras