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Published January 1, 1930 | public
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Differential geometries of function space


In a previous paper (1) the author initiated the study of a species of functional differential geometries. These geometries are the function space analogues of the n-dimensional theories of affinely connected manifolds. An attempt to develop a projective theory in function space was instrumental in showing that the functional geometries which were developed in the cited paper (1) were a truncated form of a much more general situation.

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Copyright © 1930 by the National Academy of Sciences. Communicated November 16, 1929.


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August 21, 2023
October 16, 2023