标题： 关于最大整体双曲柯西发展的构造的评论 显示英文标题

标题： A comment on the construction of the maximal globally hyperbolic Cauchy development

摘要： 在较弱的假设下，我们在广义相对论中去掉了最大全域双曲柯西发展的构造中所有选择公理的痕迹。 该构造依赖于直接并联流形的概念，我们对此进行了回顾。 所给出的构造非常通用：任何具有合适几何表示的物理理论（特别是所有的经典场），并且对于相应的初值问题存在强的“局部存在性和唯一性”解的概念，都可以采用相同的处理方法。 显示英文摘要

摘要： Under mild assumptions, we remove all traces of the axiom of choice from the construction of the maximal globally hyperbolic Cauchy development in general relativity. The construction relies on the notion of direct union manifolds, which we review. The construction given is very general: any physical theory with a suitable geometric representation (in particular all classical fields), and such that a strong notion of "local existence and uniqueness" of solutions for the corresponding initial value problem is available, is amenable to the same treatment.