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Corpus ID: 17578603

1-1-1955 An Isomorphism Theorem for Real-Closed Fields

@inproceedings{Erds2002111955AI,
title={1-1-1955 An Isomorphism Theorem for Real-Closed Fields},
author={P. Erd{\"o}s and L. Gillman and M. Henriksen},
year={2002}
}

A classical theorem of Steinitz [I& p. 1251 states that the characteristic of an algebraically closed field, together with it.s absolute degree of transcendency, uniquely det,ermine the field (up to isomorphism). It is easily seen that the word real-closed cannot be substituted for the words algebraically closed in this theorem. It is therefore natural to inquire what invariants other than the absolute transcendence degree are needed in order to characterize a real-closed field.’ For non… Expand