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arXiv 0803.3352math-phmath.MP
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Zeeman精细拓扑的不存在性

Inexistence of Zeeman's fine topology

Norberto Sainz

摘要:

在每个时间轴和每个空间轴上导出欧氏度量空间的拓扑族,当被关系“比”更精细“部分排序时,不显示极大元素,如本文所示。一个结论和两个思考出现,并在此解决:结论:a。塞曼的精细拓扑[1]和戈贝尔对任意时空的扩张[2]都不存在。Reflections:a.两位作者的尝试都可以被归类为第2类策略,在[3]的分类中。B.这些不存在的拓扑结构如何能被使用几十年?

英文摘要:

The family of topologies that induce the Euclidean metric space on every time axis and every space axis exhibits no maximal element when partially ordered by the relation ``finer than'', as demonstrated in this article. One conclusion and two reflections emerge and are addressed herein: Conclusion: a. Zeeman's fine topology [1] and Göbel's extension to arbitrary spacetimes [2] do not exist. Reflections: a. Both authors' attempts may be classified as type-2 strategies, within the taxonomy of [3]. b. How could these inexistent topologies be used for decades?

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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