Busemann空间和奇异Minkowski空间的理想闭包
Ideal closures of Busemann space and singular Minkowski space
摘要：
讨论了Busemann非正曲度量空间的理想闭包和理想边界的两种不同的一般自然方法。证明了该空间的恒等映射允许从其粗理想闭包到弱理想闭包的满射延拓。我们考虑这些闭包重合的情况，以及它们本质上不同的情况。特别地，将奇异Minkowski空间作为平坦的Busemann空间来研究，并刻画了它的几类理想点。
英文摘要：
We discuss two different in general natural approaches to the ideal closure and ideal boundary of Busemann nonpositively curved metric space. It is shown that the identity map of the space admits surjective continuation from its coarse ideal closure to the weak one. We consider some situations when these closures coincide, and when they are essentially different. In particular, the singular Minkowski space is studied as flat Busemann space, and some types of its ideal points are described.
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