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Thesis

Presmooth geometries

Abstract:

This thesis explores the geometric principles underlying many of the known Trichotomy Theorems. The main aims are to unify the field construction in non-linear o-minimal structures and generalizations of Zariski Geometries as well as to pave the road for completely new results in this direction.

In the first part of this thesis we introduce a new axiomatic framework in which all the relevant structures can be studied uniformly and show that these axioms are preserved under elementar...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Mathematical Logic
Oxford college:
St Anne's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:b5d9ccfd-8360-4a2c-ad89-0b4f136c5a96
Local pid:
ora:8878
Deposit date:
2014-08-15

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