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.

中文翻译：

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庞加莱声明的拓扑动机

众所周知，庞加莱对数学最重要的贡献之一是创建了代数拓扑。在本文中，我们仔细研究了 Poincaré 的陈述动机以及他在开发拓扑时所考虑的潜在应用。除了作为一个有趣的历史问题外，这项研究还将以具体的方式阐明庞加莱对数学的广泛兴趣。