论文标题
单级歧管
Monoidally graded manifolds
论文作者
论文摘要
我们将$ \ mathbb {z} _2 $分类的歧管的理论概括为$ \ mathcal {i} $ - 分级流形的理论，其中$ \ mathcal {i} $是一个交换性的半环。我们在此广义设置中证明了Batchelor的定理。据我们所知，除某些特殊情况外，这种证据仍然缺失。
We give a generalization of the theory of $\mathbb{Z}_2$-graded manifolds to a theory of $\mathcal{I}$-graded manifolds, where $\mathcal{I}$ is a commutative semi-ring with some additional properties. We prove Batchelor's theorem in this generalized setting. To our knowledge, such a proof is still missing except for some special cases.
