序广群的上同调与扩张
Cohomology and extensions of ordered groupoids
摘要：
我们适应和推广的结果Loganathan上同调逆半群的上同调有序群胚。然后，我们得到一个五项正合序列的上同调从一个扩展的有序群胚，并表明，这个序列导致的分类的扩展的第二个上同调群。我们的方法尽可能使用上同调的结构思想，而不是用上循环计算。
英文摘要：
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomology from an extension of ordered groupoids, and show that this sequence leads to a classification of extensions by a second cohomology group. Our methods use structural ideas in cohomology as far as possible, rather than computation with cocycles.
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