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Cup products in Grassmannians

Authors
Journal
Topology and its Applications
0166-8641
Publisher
Elsevier
Publication Date
Volume
13
Issue
1
Identifiers
DOI: 10.1016/0166-8641(82)90012-8

Abstract

Abstract This note calculates the height of the first Stiefel-Whitney class in the cohomology of the real Grassmannians and determines the length of the longest nontrivial cup-product in H ∗(G k(R n+k);Z 2) (k⩽n) with k⩽4.

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