SETS OF DEGREES OF MAPS BETWEEN SU(2)-BUNDLES OVER THE 5-SPHERE
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We compute the sets of degrees of maps between principal SU(2)-bundles over S5, i.e., between any of the manifolds SU(2) × S5 and SU(3). We show that the Steenrod squares provide the only obstruction to the existence of a mapping degree between these manifolds, and construct explicit maps realizing each integer that occurs as a mapping degree.
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