Čadek, Martin; Vanžura, Jiří On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes. (English) Zbl 0921.57016 Commentat. Math. Univ. Carol. 36, No. 2, 377-394 (1995). Summary: Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed. MSC: 57R22 Topology of vector bundles and fiber bundles 55R25 Sphere bundles and vector bundles in algebraic topology 57R25 Vector fields, frame fields in differential topology Keywords:span of the vector bundle; classifying spaces for spinor groups; Postnikov tower; characteristic classes; secondary cohomology operation PDFBibTeX XMLCite \textit{M. Čadek} and \textit{J. Vanžura}, Commentat. Math. Univ. Carol. 36, No. 2, 377--394 (1995; Zbl 0921.57016) Full Text: EuDML