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

Marek Golasiński, Juno Mukai (Autoren)

Buch | Softcover

XVII, 132 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-38454-2 (ISBN)

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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.

(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

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

Erscheinungsdatum	03.08.2016
Zusatzinfo	XVII, 132 p. 7 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Category Theory, Homological Algebra • convex and discrete Geometry • Differential Geometry • Gottlieb Groups • homotopy groups • Lie groups • mathematics and statistics • Topology • Whitehead Products
ISBN-10	3-319-38454-6 / 3319384546
ISBN-13	978-3-319-38454-2 / 9783319384542
Zustand	Neuware