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Subject Index SUBJECT INDEX .0 see: Conwaygroup-- [57M25] [47H17] (see: Shafarevich conjecture) O grammar see: type- -- (see: Positive link) (see: Approximation solvability) absolute retract 1/4-Cantor set 4-groupsee: Klein -- A-sequence see: weak-- [46J10, 46L05, 46L80, 46L85] [28A78, 49Qxx, 49Q15, 53C65, (5,2) positive toms knot A-solvability (see: Multipliers of C* -algebras) 58A25] [57M25] [47H171 absotutevalue see: p-adic -- (see: Geometric measure theory) (see: Positive llnk) (see: Approximation solvability) absolute value on a number field 1/2 fermion see: spin- -- A-solvability see: unique -- 6-transposition property of the monster [12J10, 12J20, 13A18, 16W60] 1/n surgery [llFll, 17B67, 20D08, 81T10] AaIen multiplicative intensity model (see: S-integer) [57M25] (see: Moonshine conjectures) [62Jxx, 62Mxx] Absolutely continuous invariant mea- (see: Positive link) 62-knot (see: Cox regression model) sure 1 see: isomorphism in codimension --; [57M25] Abel functional equation surjectivity in codimension -- (see: Positive link) [39B05, 39B 12] (28Dxx, 54H20, 58F1 I, 58F13) l-co-connected space 90theorem see: Hilbert -- (see: Schr6der Iunetional equation) (refers to: Absolutely eontinuous [55Pxx, 55P15, 55U35] ~1 additive topological space Abelian Baumslag-Solitar group see: measures; Accumulation point; (see: Algebraic homotopy) [54610] meta- -- Chaos; Compactness; Dirac distribu- 1-cycle see: relative R- -- (see: P-space) Abelian differential tion; Dynamical system; Ergodic the- 1-cycles see: numerically equivalent rein. [14Jxx, 35A25, 35Q53, 57R57] orem; Haar measure; Invariant mea- tive R- -- (see: Whitham equations) sure; Lebesgue measure; Measure; 1-median problem Abelian function Shift dynamical system; Strange [90B85] [11J85] attractor; Topological group) (see: Fermat-Torricelll problem) A (see: Gel'fond-Sehneider method) Absolutely continuous measures 1-rectifiable set see: example of a -- Abelian functions see: algebraicindepen- (28-xx) 1-unrectifiabie set see: example of a dence of values of --; transcendence of (referred to in: Absolutely continu- purely -- s-abundant number see: primitive --; values of -- ; transcendence theory of -- ous invariant measure; Sobolev inner 15th problem see: Hilbert -- primitive unitary -- Abelian group see: finite --; meta- -- product) 1D software see: Global Manifolds -- c~-favourable space Abelian group invariant of links (refers to: Absolute continuity; Can- ~¢/2-torus [26A15, 54C05] [57M25] tor set; Haar measure; Integrable [53C421 (see: Namioka space) (see: Fox n-colouring) function; Lebesgue measure; Mea- (see: Willmore functional) o~-favourable topological ~Tmce Abelian groups see: fundamentaltheorem surable space; Measure; Radon- 2-co-connected space [54E52] on finite -- Nikod~m theorem; Topological [55Pxx, 55P15, 55U35] (see: Banach-Mazur game) Abelian integral group) (see: Algebraic homotopy) (x-favourable topological space see: [11J85] absolutely continuous with respect to a given 2-coeycle see: ChevalIey -- weakly -- (see: Gel'fond-Schneider method) measure see: measure, -- 2-design see: Hadamard -- o~-non-deficient number Abelian monopole absolutely free algebra 2-1abelling of a graph [11Axx] [81V10] [03Gxx, 03G05, 03G10, 03G15, [57M25] (see: Abundant number) (see: Dirac monopole) 03G25, 06Exx, 06F35] (see: Jaeger composition product) *-algebra see: uniformly closed -- Abelian p-extension see: maximal --; (see: Abstract algebraic logic; Alge- 2.4-1-dimensional Harry Dym equation *-Autonomous category unramified -- braic logic) [35Q53, 58F07] (18D10, 18D15) Abelian p-group see: elementary -- Abstract algebraic logic (see: Harry Dym equation) (refers to: Category; Closed monoidal Abelian variety [11Fxx, 20Gxx, 22E46] (03Gxx, 03G05, 03G10, 03G15, 26-dimensional string category; Functor) 03G25, 06Exx, 06F35) [11Fll, 17B10, 17B65, 17B67, 17B68, *-autonomous category (see: Baily-Borel compaetification) (referred to in: Algebraic logic) 20D08, 81R10, glT30, 81T40] [18D10, 18D15] Abelian variety see: semi- -- (refers to: Algebraic systems, vari- (see: Vertex operator algebra) (see: *-Autonomous category) aberration see: coma --; distortion -- ety of; Boolean algebra; Equational 2D software see: Global Manifolds -- A-anti-symmetric set aberration function of optics logic; Gentzen formal system; Heyt- 3 bifurcation see: codimensioe- -- [46E25, 54C35] [33C50, 78A05] ing formal system; Horn clauses, the- 3-colourabihty problem (see: Bishop theorem) (see: Zernike polynomials) ory of; Intermediate logic; Many- [68Q151 A-anti-symmetricset see: partially -- aberrations see: diffraction theory of --; valued logic; Modal logic; Modus (see: Average-case computational A arithmeticalsemi-group see: axiom- -- primary -- ponens; Permissible law (inference); complexity) A # arithmetiealsemi-group see: axiom- Ablowitz-Kaup-Newell-Segur hierarchy Propositional calculus; Propositional 3-design see: Hadamard -- [22E65, 22E70, 35Q53, 35Q58, connective; Quasi-variety; Universal 3-manifold see: nice --; sufficiently- Ak curve singularities 5817071 algebra) large -- [14H20] (see: AKNS-hierarchy) 3-manifold group (see: Tacnode) Ablowitz-Ladik equations abstract algebraic logic [05C25, 20Fxx, 20F32] A-function [14Jxx, 35A25, 35Q53, 57R57] [03Gxx] (see: Baumslag-Solitar group) [11Fxx, 20Gxx, 22E46] (see: Whltham equations) (see: Algebraic logic) 3-move (see: Baily-Borel compactification) absolute continuity of measures abstract algebraic logic see: logistic --; [57P25] a priori-condition belief function [28-XX] semantics-based -- (see: Montesinos-Nakanishi conjec- [68T30, 68T99, 92Jxx, 92K10] (see: Absolutely continuous mea- Abstract analytic number theory ture) (see: Dempster-Shafer theory) sures) (llNxx, 11N32, 11N45, 11N80) 3-sphere see: homology-- A-process see: van dot Corput -- absolute Galois group over Q (referred to in: Abstract prime num- 3-string braid A-proper [I 1R32] ber theory) [57Mxx] [47H17] (see: Shafarevlch conjecture) (refers to: Abelian group; Abstract (see: Fibonaeci manifold) (see: Approximation solvability) absolute Galois group over Qab prime number theory; Algebraic 4-ball genus of a knot A-proper mapping [11R32] number; Analytie number theory; 467 ABSTRACT ANALYTICNUMBER THEORY Associative rings and algebras; Cat- (refers to: Cohomologieal dimension; [53C15, 57R57, 58D27] [22E65, 22E70, 35Q53, 35Q58, egory; Cyclic group; de la Vallde- Finitely-generated group; Free prod- (see: Atiyah-Floer conjecture) 58F07] Poussin theorem; Finite field; Glob- uct; Group; Group without torsion; adiabatic limit (see: AKNS-hlerarchy) ally symmetric Riemannian space; HNN-extension; Hyperbolic group; [81Txx, 81T05] AKNS-equations see: stationary -- Irreducible polynomial; Lie algebra; Kneser theorem; Three-dimensional (see: Massless field) AKNS-hierarchy Mdbius function; p-group; Pseudo- manifold) adie absolute value see: p- -- (22E65, 22E70, 35Q53, 35Q58, metric space; Ring; Semi-group; accessibility of finitely-generated groups adic L-function see: p- -- 58F07) Semi-simple ring; Topological space; see: Wallconjecture on -- adic Weierstrass preparation theorem see: (refers to: Bundle; Cartan subalge- Zeta-function) accessibilitytheorem see: Dunwoody -- p-- bra; Connections on a manifold; Dif- abstract arithmetical function accessible group adjoining grammar see: tree -- ferential equation, partial, discontin- [llNxx, 11N32, 11N45, 11N80] [20E22, 20Jxx, 57Mxx] adjoining grammar parser see: tree -- uous initial (boundary) conditions; (see: Abstract analytic number the- (see: Accessibility for groups) adjoint Baker-Akhiezer function Fundamental system of solutions; ory) Acnode [14Jxx, 35A25, 35Q53, 57R57] Hamiltonlan system; Homogeneous abstract inverse prime number theorem (14Hxx) (see: Whitham equations) space; Hyper-elliptic curve; Kac- [llNxx, 11N32, 11N45] (refers to: Algebraic curve) adjoint matrix see; Hermitian -- Moody algebra; Korteweg-de Vries (see: Abstract prime number theory) action see: fixed-point-freegroup--; fixed- adjoint operator see: essentially self- -- ; equation; KP-equatlon; Lie algebra; abstract prime element theorem point set of a group --; Polyakov extrinsic self- --; triangular model of a non-self- -- Poisson brackets; Regular element; [llNxx, 11N32, 11N45, 11N801 -- ; spherically transitive group -- ; Yang- adjoint orbit see: co- -- Soliton) (see: Abstract analytic number the- Mills-Higgs -- Adler-Manin residue AKNS-hierarchy see: Lax equations of ory) action of a semi-group see: right -- [35Sxx, 46Lxx, 47Axx] the -- abstract prime number theorem action of the Steenrod algebra see: unsta- (see: Wodzicki residue) AKNS-potentialsee: algebro-geometric-- [llNxx, 11N32, 11N45, llN80] ble -- admissibility condition for a reconstruc- Aleksandrov problem for isometric (see: Abstract analytic number the- action on a rooted tree see: group -- tion formula for the continuous wavelet mappings ory; Abstract prime number theory) actions see: Smith theory of group -- transform (54E35) abstract prime number theorem active constraint [42Cxx] (refers to: Homeomorphism; Metric [llNxx, 11N32, 11N45] [90Cxx] (see: Daubechies wavelets) space) (see: Abstract prime number theory) (see: Fritz John condition) admissible measure Alexander-Conway polynomial abstract prime number theorem see: in- acyclic polynomial of a graph [33C45, 33Exx, 46E35] (57M25) verse additive -- [05Cxx, 05D15] (see: Sobolev inner product) (referred to in: Conway polynomial; Abstract prime number theory (see: Matching polynomial of a admittance matrix see: node- -- Jones-Conway polynomial) (11Nxx, 11N32, 11N45) graph) affine
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