The mathematical structure of Minkowski space, a consequence of the postulates of the special theory of relativity, is endowed with several physically important non-Euclidean topologies defined using the causal structure of spacetime. The present paper is devoted to the study of the first singular homology group of the Minkowski space with one such topology, namely the t-topology, using the relationship between the fundamental group and the first singular homology group for path connected spaces. A similar study has also been carried out for a Lorentz manifold with the path topology.

中文翻译：

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时空第一奇异同调群

闵可夫斯基空间的数学结构是狭义相对论假设的结果，被赋予了几个使用时空因果结构定义的物理上重要的非欧拓扑。本文致力于研究具有这样一种拓扑结构的闵可夫斯基空间的第一奇异同调群，即t-拓扑，利用基本群与路径连通空间的第一奇异同调群之间的关系。对具有路径拓扑结构的洛伦兹流形也进行了类似的研究。