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Mar 2, 2022 at 15:51 comment added Igor Khavkine The book my Kriegl & Michor is of course very comprehensive, but a more down-to-earth reference is "Differential topology" by Hirsch (Springer, 1976).
Mar 2, 2022 at 15:02 comment added Denis T Also very large portion of @AndrewStacey works are aimed at studying function spaces of smooth manifolds.
Mar 2, 2022 at 14:59 comment added Denis T Peter Michor's "Convenient setting of global analysis" is a very densely written book, but answers your question in great generality.
Mar 2, 2022 at 10:10 history asked Minkowski CC BY-SA 4.0