比较光滑神学
Comparative Smootheology
摘要：
我们比较了“光滑对象范畴”的各种不同定义。比较的定义是由于陈，Frölicher，西科尔斯基，史密斯和Souriau。比较的方法是在类别之间构造函子，使我们能够看到类别之间的关系。这就产生了一个范畴图，而Frölicher空间的范畴位于其中心。我们的研究方法包括找到一个可以放置这些类别的一般背景。这涉及到考虑类别，其中对象被认为与标准测试对象的某个集合有关。因此，这适用于光滑空间范畴以外的问题。
英文摘要：
We compare various different definitions of "the category of smooth objects". The definitions compared are due to Chen, Frölicher, Sikorski, Smith, and Souriau. The method of comparison is to construct functors between the categories that enable us to see how the categories relate to each other. This produces a diagram of categories with the category of Frölicher spaces sitting at its centre. Our method of study involves finding a general context into which these categories can be placed. This involves considering categories wherein objects are considered in relation to a certain collection of standard test objects. This therefore applies beyond the question of categories of smooth spaces.
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。
