Gottlieb and Whitehead Center Groups of Projective Spaces

Marek Golasiński and Juno Mukai
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Marek Golasiński: Casimir the Great University, Institute of Mathematics
Juno Mukai: Shinshu University

Chapter Chapter 2 in Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces, 2014, pp 49-103 from Springer

Abstract: Abstract By the use of Siegel’s method and the classical results of homotopy groups homotopy group of spheres and Lie groups, we determine in this chapter some Gottlieb groups of projective spaces or give the lower bounds of their orders. Furthermore, making use of the properties of Whitehead products, we determine some Whitehead center groups of projective spaces.

Keywords: Quaternionic Projective Space; Gottlieb Group; Whitehead Product; Cayley Projective Plane; Nondegenerate Base Point (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11517-7_2

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DOI: 10.1007/978-3-319-11517-7_2

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