论文标题
结构化空间：类别，滑轮，捆，方案和同一个学理论
Structured spaces: categories, sheaves, bundles, schemes and cohomology theories
论文作者
论文摘要
在[1]中，我们介绍了结构化空间的概念，这是一个局部类似于某些代数结构的拓扑空间。在[2]中，我们进行了这些空间的研究，开发了两种共同体理论。本文的目的是定义结构化空间的类别，（预）带有此类类别中值的托管以及向量束，环形空间和方案的广义概念。然后，我们将为这些对象构建（使用[2]第2节中的某些技术和一般方法）。
In [1] we introduced the concept of structured space, which is a topological space that locally resembles some algebraic structures. In [2] we proceeded the study of these spaces, developing two cohomology theories. The aim of this paper is to define categories of structured spaces, (pre)sheaves with values in such categories, and generalised notions of vector bundles, ringed spaces and schemes. Then, we will construct (using some techniques and also the general method in Section 2 of [2]) various cohomology theories for these objects.
