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A new topology for curved space–time which incorporates the causal, differential, and conformal structures

机译:弯曲空间时间的新拓扑,它包含因果,差异和保形结构

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摘要

A new topology is proposed for strongly causal space–times. Unlike the standard manifold topology (which merely characterizes continuity properties), the new topology determines the causal, differential, and conformal structures of space–time. The topology is more appealing, physical, and manageable than the topology previously proposed by Zeeman for Minkowski space. It thus seems that many calculations involving the above structures may be made purely topological.
机译:针对强因果时空提出了一种新的拓扑。与标准流形拓扑(仅描述连续性的特征)不同,新拓扑确定时空的因果,微分和保形结构。该拓扑比Zeeman先前针对Minkowski空间提出的拓扑更具吸引力,物理性和可管理性。因此,似乎涉及上述结构的许多计算可能纯粹是拓扑结构。

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