Vol. 27, No. 3, 1968

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The product formula for the third obstruction

Robert Einsohn Mosher

Vol. 27 (1968), No. 3, 573–578
Abstract

Let ξ be an SO(n)-bundle with n > 3; let p : E B be the projection in the associated (n 1)-sphere bundle. In this note we express the third obstruction to a cross-section of p as a tertiary characteristic class and prove a product formula for the behavior of this class under Whitney sum.

Mathematical Subject Classification
Primary: 55.50
Milestones
Received: 4 January 1968
Published: 1 December 1968
Authors
Robert Einsohn Mosher