Titlebook: A History of Algebraic and Differential Topology, 1900 - 1960; Jean Dieudonné Book 2009 Birkh?user Boston 2009 Algebraic topology.Fundamen

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Sergey P. Tsarev,Michael G. Sadovskyrphism”. That this was a hopeless undertaking was very soon apparent, the subspaces of the plane .. being an obvious example. From this impossibility were born algebraic and differential topology, by a shift of emphasis which consisted in associating “invariant” objects to . types of spaces (objects

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https://doi.org/10.1007/978-3-319-58163-7ics far less popular at that time, and in which he was entirely self-taught. He first tackled Hilbert’s famous “5th problem” and showed that all C° groups of transformations of the real line are in fact Lie groups. This work, and attempts to extend it to transformation groups of R., led him to study

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