ORDINAL REAL NUMBER 3. The techniques of transfinite real , surreal, ordinal real, numbers ; unification .

Konstantinos Constantine Kyritsis (1)

1 TEI - Technological Educational Institute of Epirus

In this paper is introduced a fourth new technique of "the enlargment real numbers",that in some sense it substitutes the non-standard real numbers of A.Robinson.It is proved ,that the three different methods and hierarchies of transfinite real numbers , of the surreal numbers ,of the ordinal real numbers, give by inductive limit or union the same class of numbers .

Mots clés: linearly ordered commutative fields; transfinite real numbers; non-standard enlargment fields of the real numbers; surreal numbers; formal power series fields; Ordinal real numbers

Domaines: Mathématiques [math]

Konstantinos Constantine Kyritsis. ORDINAL REAL NUMBER 3. The techniques of transfinite real , surreal, ordinal real, numbers ; unification .. [Research Report] National Technical University of Athens. 1995, http://users.softlab.ntua.gr/~kyritsis/PapersInMaths/InfinityandStochastics/OR3.htm. ⟨hal-01512985⟩