Poincaré’s stated motivations for topology

IF 0.7 2区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Archive for History of Exact Sciences Pub Date : 2020-03-04 DOI:10.1007/s00407-020-00247-y

Lizhen Ji, Chang Wang

引用次数: 1

Abstract

It is well known that one of Poincaré’s most important contributions to mathematics is the creation of algebraic topology. In this paper, we examine carefully the stated motivations of Poincaré and potential applications he had in mind for developing topology. Besides being an interesting historical problem, this study will also shed some light on the broad interest of Poincaré in mathematics in a concrete way.

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Poincaré关于拓扑的既定动机

众所周知，庞加莱对数学最重要的贡献之一是代数拓扑的创建。在本文中，我们仔细研究了Poincaré所陈述的动机，以及他在开发拓扑时所考虑的潜在应用。除了是一个有趣的历史问题外，这项研究还将以具体的方式揭示庞加莱对数学的广泛兴趣。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for History of Exact Sciences 管理科学-科学史与科学哲学

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.