Vapnik-Chervonenkis Density in some Theories without the Independence Property, II
暂无分享,去创建一个
Deirdre Haskell | Matthias Aschenbrenner | Sergei Starchenko | Dugald Macpherson | D. Haskell | D. Macpherson | Matthias Aschenbrenner | S. Starchenko | Alfred Dolich | Alf Dolich
[1] K. Zh. Kudaĭbergenov. Weakly quasi-o-minimal models , 2010 .
[2] Michael C. Laskowski,et al. Vapnik-Chervonenkis classes of definable sets , 1992 .
[3] Wilfrid Hodges,et al. Model Theory: The existential case , 1993 .
[4] Jürgen Saffe. Categoricity and Ranks , 1984, J. Symb. Log..
[5] Edmund Puczyłowski,et al. On Goldie and dual Goldie dimensions , 1984 .
[6] Vincent Guingona. On uniform definability of types over finite sets , 2012, J. Symb. Log..
[7] Leonard Lipshitz,et al. One-Dimensional Fibers of Rigid Subanalytic Sets , 1998, J. Symb. Log..
[8] W. Trotter,et al. Combinatorics and Partially Ordered Sets: Dimension Theory , 1992 .
[9] Alf Onshuus,et al. Additivity of the dp-rank , 2011 .
[10] Anand Pillay,et al. The model-theoretic content of Lang’s conjecture , 1998 .
[11] Pierre Simon,et al. Externally definable sets and dependent pairs II , 2012, 1202.2650.
[12] Vincent Guingona,et al. Local dp-rank and VC-density over indiscernible sequences , 2011 .
[13] Deirdre Haskell,et al. Cell Decompositions of C-Minimal Structures , 1994, Ann. Pure Appl. Log..
[14] Luc Bélair,et al. Types dans les corps valués munis d'applications coefficients , 1999 .
[15] Jirí Matousek,et al. Bounded VC-Dimension Implies a Fractional Helly Theorem , 2004, Discret. Comput. Geom..
[16] S. Basu,et al. On the number of cells defined by a family of polynomials on a variety , 1996 .
[17] Angus Macintyre,et al. On $ω_1$-categorical theories of abelian groups , 1971 .
[18] Zoltán Füredi,et al. Traces of finite sets: extremal problems and geometric applications , 1994 .
[19] Martin Ziegler,et al. Stable Theories with A New Predicate , 2001, J. Symb. Log..
[20] J. Spencer. The Strange Logic of Random Graphs , 2001 .
[21] B. Szegedy,et al. Regularity Partitions and The Topology of Graphons , 2010, 1002.4377.
[22] Deirdre Haskell,et al. A Version of o-Minimality for the p-adics , 1997, J. Symb. Log..
[23] G. Grätzer. General Lattice Theory , 1978 .
[24] Anand Pillay,et al. Weakly normal groups , 1985, Logic Colloquium.
[25] J. Spencer,et al. Zero-one laws for sparse random graphs , 1988 .
[26] Ehud Hrushovski,et al. Generically stable and smooth measures in NIP theories , 2010, 1002.4763.
[27] Alf Onshuus. On dp-minimality, strong dependence and weight , 2011, J. Symb. Log..
[28] R. Pollack,et al. On the number of cells defined by a set of polynomials , 1993 .
[29] de Ng Dick Bruijn. A combinatorial problem , 1946 .
[30] Michael T. Goodrich,et al. Almost optimal set covers in finite VC-dimension , 1995, Discret. Comput. Geom..
[31] Dugald Macpherson,et al. Weakly o-minimal structures and real closed fields , 2000 .
[32] Jean-Louis Duret,et al. Les corps faiblement algebriquement clos non separablement clos ont la propriete d ’independance , 1980 .
[33] M. Karpinski,et al. Approximating Volumes and Integrals in o-Minimal and p-Minimal Theories , 1997 .
[34] Hans Adler. Theories controlled by formulas of Vapnik-Chervonenkis codimension 1 , 2008 .
[35] Peter H. Schmitt,et al. THE THEORY OF ORDERED ABELIAN GROUPS DOES NOT HAVE THE INDEPENDENCE PROPERTY , 1984 .
[36] Jiří Matoušek,et al. Geometric Set Systems , 1998 .
[37] Mike Prest,et al. Rings of finite representation type and modules of finite Morley rank , 1984 .
[38] P. Erdös,et al. A Partition Calculus in Set Theory , 1956 .
[39] Jan Denef,et al. P-adic and real subanalytic sets , 1988 .
[40] Victor Harnik,et al. Review: S. Shelah, Classification Theory and the Number of Nonisomorphic Models , 1982, Journal of Symbolic Logic.
[41] Jan E. Holly,et al. Canonical forms for definable subsets of algebraically closed and real closed valued fields , 1995, Journal of Symbolic Logic.
[42] Deirdre Haskell,et al. Vapnik-Chervonenkis Density in Some Theories without the Independence Property, II , 2011, Notre Dame J. Formal Log..
[43] Khaled A. S. Abdel-Ghaffar. Maximum number of edges joining vertices on a cube , 2003, Inf. Process. Lett..
[44] Ehud Hrushovski,et al. Integration in valued fields , 2006 .
[45] Saharon Shelah,et al. Strongly dependent theories , 2005, math/0504197.
[46] W. Schmidt,et al. Linear equations in variables which Lie in a multiplicative group , 2002 .
[47] James H. Schmerl. Partially Ordered Sets and the Independence Property , 1989, J. Symb. Log..
[48] James H. Schmerl. ℵ₀-categorical distributive lattices of finite breadth , 1983 .
[49] Juan Sabia,et al. On the Number of Sets Definable by Polynomials , 2000 .
[50] Jirí Matousek,et al. Discrepancy and approximations for bounded VC-dimension , 1993, Comb..
[51] Marek Karpinski,et al. Polynomial Bounds for VC Dimension of Sigmoidal and General Pfaffian Neural Networks , 1997, J. Comput. Syst. Sci..
[52] Endre Szemerédi,et al. A Combinatorial Distinction Between the Euclidean and Projective Planes , 1983, Eur. J. Comb..
[53] Deirdre Haskell,et al. ONE-DIMENSIONAL p -ADIC SUBANALYTIC SETS , 1999 .
[54] Françoise Point. On Decidable Extensions of Presburger Arithmetic: From A. Bertrand Numeration Systems to Pisot Numbers , 2000, J. Symb. Log..
[55] J. Wierzejewski,et al. On stability and products , 1976 .
[56] Ehud Hrushovski,et al. On NIP and invariant measures , 2007, 0710.2330.
[57] Luc Bélair,et al. Types dans les corps valués , 1996 .
[58] L. van den Dries,et al. Tame Topology and O-minimal Structures , 1998 .
[59] David Haussler,et al. Sphere Packing Numbers for Subsets of the Boolean n-Cube with Bounded Vapnik-Chervonenkis Dimension , 1995, J. Comb. Theory, Ser. A.
[60] V. Sós,et al. On a problem of K. Zarankiewicz , 1954 .
[61] Ya'acov Peterzil,et al. Quasi-O-Minimal Structures , 2000, J. Symb. Log..
[62] Micha Sharir,et al. On the Number of Incidences Between Points and Curves , 1998, Combinatorics, Probability and Computing.
[63] József Solymosi,et al. An Incidence Theorem in Higher Dimensions , 2012, Discret. Comput. Geom..
[64] S. Shelah. A combinatorial problem; stability and order for models and theories in infinitary languages. , 1972 .
[65] Ya'acov Peterzil,et al. Groups, measures, and the NIP , 2006 .
[66] M. Prest. Model theory and modules , 1988 .
[67] Marie-Hélène Mourgues. Cell decomposition for P-minimal fields , 2009, Math. Log. Q..
[68] Andreas Baudisch. Magidor-Malitz Quantifiers in Modules , 1984, J. Symb. Log..
[69] R. Dudley,et al. Uniform Central Limit Theorems: Notation Index , 2014 .
[70] Pierre Simon. On dp-minimal ordered structures , 2011, J. Symb. Log..
[71] Colin Cooper,et al. The vapnik-chervonenkis dimension of a random graph , 1995, Discret. Math..
[72] Michael C. Laskowski,et al. Compression Schemes, Stable Definable Families, and o-Minimal Structures , 2010, Discret. Comput. Geom..
[73] Anand Pillay,et al. On Lascar rank and Morley rank of definable groups in differentially closed fields , 2002, Journal of Symbolic Logic.
[74] Angus Macintyre,et al. On definable subsets of p-adic fields , 1976, Journal of Symbolic Logic.
[75] Saharon Shelah,et al. Randomness and semigenericity , 1996 .
[76] Herbert Edelsbrunner,et al. Algorithms in Combinatorial Geometry , 1987, EATCS Monographs in Theoretical Computer Science.
[77] Max A. Dickmann. Elimination of Quantifiers for Ordered Valuation Rings , 1987, J. Symb. Log..
[78] L. Lipshitz. Rigid Subanalytic Sets , 1993 .
[79] Alistair H. Lachlan,et al. aleph0-Categorical, aleph0-stable structures , 1985, Annals of Pure and Applied Logic.
[80] Michel Parigot. Theories D'Arbres , 1982, J. Symb. Log..
[81] E. Szemerédi,et al. Unit distances in the Euclidean plane , 1984 .
[82] G. Pólya,et al. Problems and theorems in analysis , 1983 .
[83] Saharon Shelah. Dependent first order theories, continued , 2004 .
[84] Vincent Guingona,et al. On Vapnik-Chervonenkis density over indiscernible sequences , 2014, Math. Log. Q..
[85] Micha Sharir,et al. Repeated Angles in the Plane and Related Problems , 1992, J. Comb. Theory, Ser. A.
[86] Daniel Lascar. Les groupes ω-stables de rang fini , 1985 .
[87] Lou van den Dries,et al. Closed asymptotic couples , 2000 .
[88] Françoise Point,et al. Essentially periodic ordered groups , 2000, Ann. Pure Appl. Log..
[89] Jiri Matousek,et al. Lectures on discrete geometry , 2002, Graduate texts in mathematics.
[90] Ivo Herzog,et al. Model Theory of Modules Over a Serial Ring , 1995, Ann. Pure Appl. Log..
[91] P. Assouad. Densité et dimension , 1983 .
[92] Béla Bollobás,et al. Unavoidable Traces Of Set Systems , 2005, Comb..
[93] Roger Villemaire,et al. Presburger Arithmetic and Recognizability of Sets of Natural Numbers by Automata: New Proofs of Cobham's and Semenov's Theorems , 1996, Ann. Pure Appl. Log..
[94] Norbert Sauer,et al. On the Density of Families of Sets , 1972, J. Comb. Theory A.
[95] Franz-Viktor Kuhlmann. Abelian Groups with Contractions II: Weak O-Minimality , 1995 .
[96] Raf Cluckers,et al. Analytic p-adic cell decomposition and integrals , 2002, math/0206161.
[97] Jehuda Hartman. The homeomorphic embedding of Kn in the m-cube , 1976, Discret. Math..
[98] Dugald Macpherson,et al. On Variants of o-Minimality , 1996, Ann. Pure Appl. Log..
[99] Jirí Matousek,et al. Tight upper bounds for the discrepancy of half-spaces , 1995, Discret. Comput. Geom..
[100] Csaba D. Tóth. The Szemerédi-Trotter theorem in the complex plane , 2015, Comb..
[101] Alfred Dolich,et al. Dp-Minimality: Basic Facts and Examples , 2011, Notre Dame J. Formal Log..
[102] Frank O. Wagner,et al. Coset-minimal groups , 2003, Ann. Pure Appl. Log..
[103] S. Shelah. Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory , 1971 .
[104] A. Chernikov,et al. Externally definable sets and dependent pairs , 2010, Israel Journal of Mathematics.
[105] R. Dudley. A course on empirical processes , 1984 .
[106] K. Zh. Kudaîbergenov. On the independence property , 2000 .