On the Lusternik–Schnirelmann category of Grassmannians

Mathematical Proceedings of the Cambridge Philosophical Society - Tập 79 Số 1 - Trang 129-134 - 1976
Israel Berstein1
1(Cornell University

Tóm tắt

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.

Từ khóa


Tài liệu tham khảo

Schwarz, 1967, The genus of a fibre space, Trudy Moscov. Mat. Obč., 11, 99

MacMahon, 1915, Combinatory Analysis

Grossmann, 1946, An estimation of the category of Lusternik–Schnirelmann, C.R. (Doklady). Sci. USSR, 54, 109

(3) Heinz Hans-Peter and Singhof Wilhelm . On Cup-length and Lusternik–Schnirelmann Category of Grassmann Manifolds. (To appear.)

10.2307/1969285

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Thông tin xuất bản

Mathematical Proceedings of the Cambridge Philosophical Society

Tập 79 Số 1

129-134

Thông tin tác giả