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arXiv 1104.0563math.CTmath.AGmath.LO
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通过拓扑理论统一数学-俄文版

The unification of Mathematics via Topos Theory - Russian version

Olivia Caramello

摘要:

我们提出了一套原则和方法,可以作为数学统一理论的基础。这些原则是基于一个新的观点格罗滕迪克toposes作为统一的空间能够作为“桥梁”之间的不同的数学理论转移信息,思想和结果。

英文摘要:

We present a set of principles and methodologies which may serve as foundations of a unifying theory of Mathematics. These principles are based on a new view of Grothendieck toposes as unifying spaces being able to act as `bridges' for transferring information, ideas and results between distinct mathematical theories.

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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