1955/05/01 by Paul Erdős, Leonard Gillman, Melvin Henriksen · 2 citations
Mathematics · #Advanced Topology and Set Theory #Algebra over a field #Brouwer fixed-point theorem #Fixed-point theorem #Isomorphism (crystallography) #Isomorphism extension theorem #Isomorphism theorem #Mathematical and Theoretical Analysis #Mathematics #Pure mathematics
paper · doi:10.2307/1969812
openalex publication_date 1955/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
A classical theorem of Steinitz states that the characteristic of an algebraically closed fields, together with its absolute degree of transcendency, uniquely determine 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 characterize a real-closed field.