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List of lemmas

From Wikipedia, the free encyclopedia

This is adynamic list and may never be able to satisfy particular standards for completeness. You can help byadding missing items withreliable sources.

This following is alist oflemmas (or, "lemmata", i.e. minortheorems, or sometimes intermediate technical results factored out of proofs). See alsolist of axioms,list of theorems andlist of conjectures.

This list isincomplete; you can help byadding missing items.(August 2008)

Algebra

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Main category:Lemmas in algebra

Algebraic geometry

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Category theory

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A commutative diagram that illustrates the five lemma

Linear algebra

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Group theory

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Polynomials

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Ring theory and commutative algebra

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Universal algebra

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Analysis

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Main category:Lemmas in analysis

Complex analysis

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Fourier analysis

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Differential equations

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Differential forms

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Functional analysis

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Mathematical series

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Numerical analysis

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Applied mathematics

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diagram of a length-8 fast Fourier transform
diagram of a length-8 fast Fourier transform

Control theory

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Computational complexity theory

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Cryptography

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Formal languages

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Microeconomics

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Combinatorics

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Graph theory

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Main category:Lemmas in graph theory

Order theory

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Dynamical systems

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Geometry

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Euclidean geometry

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Hyperbolic geometry

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Metric spaces

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Riemannian geometry

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Mathematical logic

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Set theory

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Main category:Lemmas in set theory

Number theory

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Main category:Lemmas in number theory

Analytic number theory

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Diophantine equations

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Sieve theory

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Probability theory

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Statistics

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Measure theory

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Topology

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Differential topology

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Fixed-point theory

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An example of a covering described by the Knaster–Kuratowski–Mazurkiewicz lemma

Geometric topology

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Topological groups and semigroups

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