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Published September 1976 | public
Journal Article

On a class of valuation fields introduced by A. Robinson


It is shown that the nonarchimedean valuation fields ^ρR introduced by A. Robinson are not only complete but are also spherically complete. Further-more, it is shown that to every normed linear space over the reals there exists a nonarchimedean normed linear space ^ρE over ^ρR in the sense of Monna which is spherically complete and extends E.

Additional Information

© Hebrew University 1976. Dedicated to the memory of A. Robinson. Work on this paper was supported in part by NSF Grant MPS 74-17845.

Additional details

August 22, 2023
October 18, 2023