Overview
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
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Table of contents (3 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the authors
(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
Bibliographic Information
Book Title: Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces
Authors: Marek Golasiński, Juno Mukai
DOI: https://doi.org/10.1007/978-3-319-11517-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-11516-0Published: 24 November 2014
Softcover ISBN: 978-3-319-38454-2Published: 22 September 2016
eBook ISBN: 978-3-319-11517-7Published: 07 November 2014
Edition Number: 1
Number of Pages: XVII, 132
Number of Illustrations: 7 b/w illustrations
Topics: Convex and Discrete Geometry, Differential Geometry, Category Theory, Homological Algebra