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Keywords:
span of the vector bundle; classifying spaces for spinor groups; characteristic classes; Postnikov tower; secondary cohomology operation
span of the vector bundle; classifying spaces for spinor groups; characteristic classes; Postnikov tower; secondary cohomology operation
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.
References:
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