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Poincaré’s stated motivations for topology

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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… Click to show full 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.

Keywords: poincar; mathematics; topology; poincar stated; stated motivations; motivations topology

Journal Title: Archive for History of Exact Sciences
Year Published: 2020

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