ORDINAL REAL NUMBERS 2. The arithmetization of order types

Konstantinos Constantine Kyritsis (1)

1 TEI - Technological Educational Institute of Epirus

In this paper the main results are :Proofs that the ordinal real numbers are real closed fields and complete up-to-characteristic .They are also Dedekind ,and Archemidean complete fields .They are real formal power series fields and Pythagorean complete fields It is proved and discussed the K-fundamental arithmetisationand the binary arithmetisation of the order types .

Mots clés: real closed commutative fields; Grothendick group; Archemidean complete fields; linearly ordered commutative fields; full binary trees

Domaines: Mathématiques [math]

Konstantinos Constantine Kyritsis. ORDINAL REAL NUMBERS 2. The arithmetization of order types. [Research Report] National Technical University of Athens. 1995, http://users.softlab.ntua.gr/~kyritsis/PapersInMaths/InfinityandStochastics/OR2.htm. ⟨hal-01512977⟩