The Lusternik-Schnirelmann Category of Sp(3)

We show that the Lusternik-Schnirelmann category of the symplectic group Sp(3) is 5. This L-S category coincides with the cone length and the stable weak category.

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Veröffentlicht in:	Proceedings of the American Mathematical Society 2004-02, Vol.132 (2), p.587-595
Hauptverfasser:	Fernández-Suárez, Lucía, Gómez-Tato, Antonio, Strom, Jeffrey, Tanré, Daniel
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic topology Critical points Exact sciences and technology Factorization Group theory Lie groups Mathematical functions Mathematical manifolds Mathematical theorems Mathematical triviality Mathematics Sciences and techniques of general use Topological groups, lie groups Topology Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Beschreibung
Zusammenfassung:	We show that the Lusternik-Schnirelmann category of the symplectic group Sp(3) is 5. This L-S category coincides with the cone length and the stable weak category.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/S0002-9939-03-07019-9