论文标题
差异学的外部束
Exterior bundles in diffeology
论文作者
论文摘要
我们在差异空间中的某个点探索了几个概念，构建了这样的$ k $形式的捆绑包，并将这些捆绑包与差分形式的部分进行比较。由于在本地定义它们，我们的$ k $ forms可以包含比差分表格的值更多的信息，我们用许多示例来说明这一点。为了组织我们的工作，我们开发了差异矢量伪捆绑的基本理论，包括对它们的限制和colimits的详细了解，以及各种纤维化操作，例如产品，直接总和，张量，张量，外部力量和双捆。
We explore several notions of $k$-form at a point in a diffeological space, construct bundles of such $k$-forms, and compare sections of these bundles to differential forms. As they are defined locally, our $k$-forms can contain more information than the values of differential forms contain, and we illustrate this with many examples. To organize our work, we develop the basic theory of diffeological vector pseudo-bundles, including a detailed understanding of their limits and colimits, as well as a variety of fibrewise operations such as products, direct sums, tensor products, exterior powers and dual bundles.
