满线性子范畴和凸线性子范畴是不可压缩的
Full and convex linear subcategories are incompressible
摘要：
考虑使用连通分次的线性范畴的Grothendieck内禀基本群。在这篇文章中，我们证明了任何满凸子范畴是不可压缩的，在这个意义下，相应的基本群之间的群映射是内射的。首先，我们证明的功能性的内在基本群关于满子范畴，研究的基础上的限制的连通分次。
英文摘要：
Consider the intrinsic fundamental group à la Grothendieck of a linear category using connected gradings. In this article we prove that any full convex subcategory is incompressible, in the sense that the group map between the corresponding fundamental groups is injective. We start by proving the functoriality of the intrinsic fundamental group with respect to full subcategories, based on the study of the restriction of connected gradings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
