紧跨度、Isbell完井和亚热带模块
Tight spans, Isbell completions and semi-tropical modules
摘要：
本文考虑Lawvere意义下广义度量空间的范畴Isbell完备化构造。我们表明，这是一个模拟的紧跨度建设的经典度量空间，并Isbell完成与定向紧跨度平井和Koichi。范畴完备化和余完备化的概念与亚热带模结构的存在性有关，并且证明了Isbell完备化（因此是有向紧跨距）具有两种不同的亚热带模结构.
英文摘要：
In this paper we consider the categorical Isbell completion construction for generalized metric spaces in the sense of Lawvere. We show that this is an analogue of the tight span construction of classical metric spaces, and that the Isbell completion coincides with the directed tight span of Hirai and Koichi. The notions of categorical completion and cocompletion are related to the existence of semi-tropical module structure, and it is shown that the Isbell completion (hence the directed tight span) has two different semi-tropical module structures.
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