Recently, Lorentzian length spaces have been introduced inspired by length spaces. One of the main objects of study in these spaces is a time separation function \(\tau \), which is closely linked to their causal structure. In analogy to the metric d in length spaces, \(\tau \) can express basic notions and many results in the setting of Lorentzian length spaces. In this paper, the concept of conformal Lorentzian length spaces is introduced and a novel version of limit curve theorem is proven. Finally, the global hyperbolic and causally simple Lorentzian length spaces are characterized.

中文翻译：

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在共形洛伦兹长度空间上

最近，受长度空间的启发，引入了洛伦兹长度空间。这些空间的主要研究对象之一是时间分离函数\(\tau \)，它与其因果结构密切相关。类似于长度空间中的度量d，\(\tau \)可以表达洛伦兹长度空间设置中的基本概念和许多结果。本文引入了共形洛伦兹长度空间的概念，并证明了极限曲线定理的新版本。最后，描述了全局双曲和因果简单洛伦兹长度空间的特征。