We establish rank-finiteness for the class of G-crossed braided fusion categories, generalizing the recent result for modular categories and including the important case of braided fusion categories. This necessitates a study of slightly degenerate braided fusion categories and their centers, which are interesting for their own sake.

中文翻译：

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G交叉交叉融合类别的秩有限度

我们为G交叉编织融合类别的类别建立等级限定性，归纳了模块化类别的最新结果，并包括编织融合类别的重要案例。这就需要研究稍微退化的编织融合类别及其中心，这对于他们自己来说很有趣。