三重向量丛的对偶函子
Duality functors for triple vector bundles
摘要：
我们计算了三重向量丛的对偶运算群，表明它的阶数是96，而不是Mackenzie原始处理中给出的72。群是S4通过克莱因群的非分裂扩张。对偶运算被解释为适当范畴上的函子，如果它们自然同构，则称为相等。这里提出的方法将在以后的论文中应用于n重向量丛的情形。
英文摘要：
We calculate the group of dualization operations for triple vector bundles, showing that it has order 96 and not 72 as given in Mackenzie's original treatment. The group is a nonsplit extension of S4 by the Klein group. Dualization operations are interpreted as functors on appropriate categories and are said to be equal if they are naturally isomorphic. The method set out here will be applied in a subsequent paper to the case of n-fold vector bundles.
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