On the Lusternik–Schnirelmann category of Grassmannians
- 1 January 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 79 (1) , 129-134
- https://doi.org/10.1017/s0305004100052142
Abstract
This note contains a partial generalization of the results of (3). We extend to arbitrary n and k the complete determination of the cases in which cup length is strictly less than the maximum possible value dim Gn, k(R) = nk. We also show that the Lusternik–Schnirelmann category cat Gn, k(R) < nk in the same cases.Keywords
This publication has 1 reference indexed in Scilit:
- On the Multiplication in the Characteristic Ring of a Sphere BundleAnnals of Mathematics, 1948