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On the Lusternik–Schnirelmann category of symmetric spaces of classical type

Mamoru Mimura and Kei Sugata

Geometry & Topology Monographs 13 (2008) 323–334

DOI: 10.2140/gtm.2008.13.323

Bibliography
1 T Ganea, Lusternik-Schnirelmann category and strong category, Illinois J. Math. 11 (1967) 417–427 MR0229240
2 S Helgason, Differential geometry, Lie groups, and symmetric spaces, Graduate Studies in Mathematics 34, American Mathematical Society (2001) MR1834454 Corrected reprint of the 1978 original
3 I M James, On category, in the sense of Lusternik-Schnirelmann, Topology 17 (1978) 331–348 MR516214
4 J Korbaš, Bounds for the cup-length of Poincaré spaces and their applications, Topology Appl. 153 (2006) 2976–2986 MR2248401
5 J Korbaš, A Szűcs, The Lyusternik-Shnirelman category, vector bundles, and immersions of manifolds, Manuscripta Math. 95 (1998) 289–294 MR1612062
6 M Mimura, H Toda, Topology of Lie groups. I, II, Translations of Mathematical Monographs 91, Amer. Math. Soc. (1991) MR1122592 Translated from the 1978 Japanese edition by the authors
7 W Singhof, On the Lusternik-Schnirelmann category of Lie groups, Math. Z. 145 (1975) 111–116 MR0391075
8 G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508