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

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Duality as a guiding light in the genesis of Dedekind’s In (Dedekind, 1897b), Richard Dedekind recalled how he was led to the notion of Dualgruppe, formally equivalent to our lattices, which he introduced there for the first time:.For many years, I have been busy with these questions, but I was compelled to do so not by logic but by the theory of these systems of numbers which I call modules.

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Tannaka Tadao‘s 1938 paper on the duality of noncommutative topological groups and its historical baThe study of the interplay between a group and the category of its representations has come to be called Tannaka duality theory (Joyal and Street, 1991, p. 413)

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