ORDINAL REAL NUMBER 3. The techniques of transfinite real , surreal, ordinal real, numbers ; unification .
Kyritsis, Konstantinos,
HAL, hal-01512985 / Harvested from HAL
Text on HAL
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 .
Publié le : 1995-07-04
Classification:  linearly ordered commutative fields,  transfinite real numbers,  non-standard enlargment fields of the real numbers,  surreal numbers,  formal power series fields,  Ordinal real numbers,  [MATH]Mathematics [math] 
@article{hal-01512985,
     author = {Kyritsis, Konstantinos, },
     title = {ORDINAL REAL  NUMBER 3. The techniques of transfinite real , surreal,  ordinal real, numbers ; unification .},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01512985}
}

Kyritsis, Konstantinos, . ORDINAL REAL  NUMBER 3. The techniques of transfinite real , surreal,  ordinal real, numbers ; unification .. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-01512985/