可一致化的实紧拓扑宇宙
Uniformizable and realcompact bornological universes
摘要：
Bornological宇宙介绍了一段时间前胡和获得新的兴趣在最近的文章收敛超空间和函数空间和优化理论。Hu的一个结果给了我们一个可度量化宇宙的充要条件。在这篇文章中，我们将推广这个结果，并给出一个可一致化几何宇宙的特征。此外，作者用来寻找赋有界开拓扑的函数空间的拓扑对偶的拓扑论域的一个构造将被用来定义拓扑论域的实紧性。我们还将对这一新概念进行各种描述。
英文摘要：
Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. One of Hu's results gives us a necessary and sufficient condition for which a bornological universe is metrizable. In this article we will extend this result and give a characterization of uniformizable bornological universes. Furthermore, a construction on bornological universes that the author used to find the bornological dual of function spaces endowed with the bounded-open topology will be used to define realcompactness for bornological universes. We will also give various characterizations of this new concept.
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