Extension (mathematics)
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In mathematics, the word "extension" enjoys many uses. See:
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[edit] Analysis
- Carathéodory's extension theorem
- Continuous linear extension
- M. Riesz extension theorem
- Krein extension theorem
- Hahn-Banach theorem
[edit] Algebra
- Abelian extension
- Algebraic extension
- Artin-Schreier extension
- Central extension
- Cyclotomic extension—see abelian extension
- Degree of a field extension
- Dual basis in a field extension
- Extension problem
- Field extension
- Galois extension
- Group extension
- Integral extension
- Kernel extension theorem
- Kummer extension
- Normal extension
- Quadratic extension
- Quadratic field extension
- Ring extension
- Separable extension
- Simple extension
- Splitting of prime ideals in Galois extensions
- Trivial extension—see field extension
[edit] Logic / Set theory
- Axiom of extensionality
- Extensible cardinal
- Extension (model theory)
- Extension (predicate logic)
- Extensionality
[edit] Order theory
[edit] Probability theory
[edit] Topology
[edit] Geometry
- Exterior algebra, Grassmann's theory of extension.
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