combinatorial lemma
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Handshaking lemma — In this graph, an even number of vertices (the four vertices numbered 2, 4, 5, and 6) have odd degrees. The sum of the degrees of the vertices is 2 + 3 + 2 + 3 + 3 + 1 = 14, twice the… … Wikipedia
Fundamental lemma of sieve theory — In number theory, the fundamental lemma of sieve theory is any of several results that systematize the process of applying sieve methods to particular problems. Halberstam Richert] Rp|92–93write:Common notationWe use these notations: * A is a set … Wikipedia
Ping-pong lemma — In mathematics, the ping pong lemma, or table tennis lemma, is any of several mathematical statements which ensure that several elements in a group acting on a set freely generate a free subgroup of that group.HistoryThe ping pong argument goes… … Wikipedia
Sperner's lemma — You may be looking for Sperner s theorem on set families In mathematics, Sperner s lemma is a combinatorial analog of the Brouwer fixed point theorem. Sperner s lemma states that every Sperner coloring of a triangulation of an n dimensional… … Wikipedia
Cotlar–Stein lemma — In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlar and Elias Stein. It may be used to obtain information on the operator norm on an operator, acting from… … Wikipedia
Vitali covering lemma — In mathematics, the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. tatement of the lemma* Finite version: Let B {1},...,B {n} be any collection of d dimensional balls contained… … Wikipedia
Newman's lemma — In the theory of rewriting systems, Newman s lemma states that a terminating (or strongly normalizing) abstract rewriting system (ARS), that is, one in which there are no infinite reduction sequences, is confluent if it is locally confluent. In… … Wikipedia
Delta lemma — The Δ lemma is a combinatorial set theoretic tool used in proofs to impose an upper bound on the size of a collection of pairwise incompatible elements in a forcing poset. It may for example be used as one of the ingredients in a proof showing… … Wikipedia
Tucker's lemma — is a combinatorial analog of the Borsuk Ulam theorem. See also * Brouwer fixed point theorem * Borsuk Ulam theorem * Topological combinatoricsReferences* … Wikipedia
Small cancellation theory — In the mathematical subject of group theory, small cancellation theory studies groups given by group presentations satisfying small cancellation conditions, that is where defining relations have small overlaps with each other. It turns out that… … Wikipedia
List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia
