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On the Lusternik–Schnirelmann category of Grassmannians

Published online by Cambridge University Press:  24 October 2008

Israel Berstein
Israel Berstein
Affiliation:
Cornell University
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 1 , January 1976 , pp. 129 - 134
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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