论文标题

在洛伦兹长度空间的因果层次结构上

On the causal hierarchy of Lorentzian length spaces

论文作者

Hau, L. Ake, Pacheco, Armando J. Cabrera, Solis, Didier A.

论文摘要

在这项工作中,我们提供了在洛伦兹(Lorenztian)长度空间的背景下,对经典因果阶梯的上层的完整描述,从而确立了它们之间的层次结构。我们还表明,在远距离同型图下,保留了全球双曲线,因果关系,因果关系,稳定因果和强大的因果关系。

In this work we provide the full description of the upper levels of the classical causal ladder for spacetimes in the context of Lorenztian length spaces, thus establishing the hierarchy between them. We also show that global hyperbolicity, causal simplicity, causal continuity, stable causality and strong causality are preserved under distance homothetic maps.

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