Titlebook: Duality in 19th and 20th Century Mathematical Thinking; Ralf Krömer,Emmylou Haffner Book 2024 The Editor(s) (if applicable) and The Author

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Marshall Stone and duality: from differential equations to Boolean algebrasname is related to the history of at least two such phenomena, namely adjoint (or dual) operators in functional analysis, and the result known as Stone duality in the theory of Boolean algebras. Note that the two phenomena, although they both mark the scientific work of the same mathematician, are q

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Duality and Distributions: An Application of Topological Vector Spaces of functions came from classical hard analysis; the methods that provided the solution came from modern structuralist functional analysis. According to the main proponent of the latter, Bourbaki (1960 and 1955), the development of the theory of normed spaces came to a temporary halt after the appea

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Hans-Joachim Kabitz,Rolf Dembinskithing like a notion are: Why was it introduced, what purpose did it serve for, which problems had been solved by its introduction, which other notions might have inspired its introduction, which were the backgrounds of the researchers introducing it and which role might they have played and so on. S

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https://doi.org/10.1007/978-0-387-85895-1was crucial for duality nor the other way round. Our claim is a somewhat more modest one, namely that a focus on duality provides new insights in Bourbaki’s history, and a focus on Bourbaki provides new insights in the development of duality.