Thesis

### The real field with an irrational power function and a dense multiplicative subgroup

Abstract:

In recent years the field of real numbers expanded by a multiplicative subgroup has been studied extensively. In this thesis, the known results will be extended to expansions of the real field. I will consider the structure R consisting of the field of real numbers and an irrational power function. Using Schanuel conditions, I will give a first-order axiomatization of expansions of R by a dense multiplicative subgroup which is a subset of the real algebraic numbers. It will be shown that ev...

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Institution:
University of Oxford
Oxford college:
Merton College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author

#### Contributors

Role:
Supervisor
Publication date:
2008
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:2f9733a2-d8d7-4ec3-aeff-a1653e971817
Local pid:
ora:2522
Language:
English
Keywords:
Subjects: