Extension (mathematics)

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In mathematics, the word "extension" enjoys many uses. See:

Contents 1 Analysis 2 Algebra 3 Logic / Set theory 4 Topology

[edit] Analysis

• Carathéodory's extension theorem
• Continuous linear extension
• Krein extension 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] Topology

• Homotopy extension property
• Tietze extension theorem