Singularities, Expanders and Topology of Maps. Part 2: from Combinatorics to Topology Via Algebraic Isoperimetry

[1]  A. Fomenko Variational Principles of Topology: Multidimensional Minimal Surface Theory , 2011 .

[2]  János Pach,et al.  Overlap properties of geometric expanders , 2011, SODA '11.

[3]  Jirí Matousek,et al.  Stabbing Simplices by Points and Flats , 2008, Discret. Comput. Geom..

[4]  Misha Gromov,et al.  Spaces and Questions , 2010 .

[5]  M. Gromov,et al.  Singularities, Expanders and Topology of Maps. Part 1: Homology Versus Volume in the Spaces of Cycles , 2009 .

[6]  Michele D'Adderio On isoperimetric profiles of algebras , 2008, 0808.2219.

[7]  M. Gromov Entropy and isoperimetry for linear and non-linear group actions , 2008 .

[8]  B. Klartag On nearly radial marginals of high-dimensional probability measures , 2008, 0810.4700.

[9]  Alexander A. Razborov,et al.  On the Minimal Density of Triangles in Graphs , 2008, Combinatorics, Probability and Computing.

[10]  R. A. R. A Z B O R O V On the minimal density of triangles in graphs , 2008 .

[11]  J. Matousek,et al.  Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry , 2007 .

[12]  Vladimir Nikiforov,et al.  The number of cliques in graphs of given order and size , 2007, 0710.2305.

[13]  S. Wenger A SHORT PROOF OF GROMOV'S FILLING INEQUALITY , 2007, math/0703889.

[14]  L. Guth Minimax Problems Related to Cup Powers and Steenrod Squares , 2007, math/0702066.

[15]  S. Hell On the number of Tverberg partitions in the prime power case , 2004, Eur. J. Comb..

[16]  N. Linial,et al.  Expander Graphs and their Applications , 2006 .

[17]  Robert Young Filling inequalities for nilpotent groups , 2006, math/0608174.

[18]  T. Terlaky,et al.  Colourful Simplicial Depth , 2005, Discret. Comput. Geom..

[19]  Ivan Izmestiev Extension of colorings , 2005, Eur. J. Comb..

[20]  L. Guth Area-contracting maps between rectangles , 2005 .

[21]  BORSUK ' S THEOREM AND THE NUMBER OF FACETS OF CENTRALLY SYMMETRIC POLYTOPES , 2005 .

[22]  Dynamical Morse entropy , 2004 .

[23]  Mikhail Skopenkov,et al.  Embedding products of graphs into Euclidean spaces , 2008, 0808.1199.

[24]  I. Bárány LECTURES ON DISCRETE GEOMETRY (Graduate Texts in Mathematics 212) , 2003 .

[25]  A. Nabutovsky,et al.  Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem , 2003 .

[26]  M. Gromov,et al.  Random walk in random groups , 2003 .

[27]  M. Gromov,et al.  Isoperimetry of Waists and Concentration of Maps , 2003 .

[28]  J. Matousek,et al.  Using The Borsuk-Ulam Theorem , 2007 .

[29]  Ulrich Wagner,et al.  On k-sets and applications , 2003 .

[30]  Jiri Matousek,et al.  Lectures on discrete geometry , 2002, Graduate texts in mathematics.

[31]  T. O’Neil Geometric Measure Theory , 2002 .

[32]  J. Snellman,et al.  ON THE DEGREES OF MINIMAL GENERATORS OF HOMOGENEOUS IDEALS IN THE EXTERIOR ALGEBRA , 2001 .

[33]  Emo Welzl,et al.  A Continuous Analogue of the Upper Bound Theorem , 2001, Discret. Comput. Geom..

[34]  K. S. Sarkaria Tverberg partitions and Borsuk–Ulam theorems , 2000 .

[35]  J. Snellman,et al.  Some conjectures about the Hilbert series of generic ideals in the exterior algebra , 2000, math/0007089.

[36]  Misha Gromov,et al.  Endomorphisms of symbolic algebraic varieties , 1999 .

[37]  Misha Gromov,et al.  Topological Invariants of Dynamical Systems and Spaces of Holomorphic Maps: I , 1999 .

[38]  W. Lück Dimension theory of arbitrary modules over finite von Neumann algebras and L^2-Betti numbers, I, Foundations , 1998 .

[39]  W. Lueck Dimension theory of arbitrary modules over finite von Neumann algebras and applications to $L^2$-Betti numbers , 1997, dg-ga/9707011.

[40]  Shmuel Weinberger,et al.  Algorithmic unsolvability of the triviality problem for multidimensional knots , 1996 .

[41]  P. Frankl Extremal set systems , 1996 .

[42]  M. Gromov Carnot-Carathéodory spaces seen from within , 1996 .

[43]  R. Graham,et al.  Handbook of Combinatorics , 1995 .

[44]  Alexander Nabutovsky,et al.  Einstein structures: Existence versus uniqueness , 1995 .

[45]  Graham A. Niblo,et al.  Asymptotic invariants of infinite groups , 1993 .

[46]  Gregory Margulis,et al.  Discrete Subgroups of Semisimple Lie Groups , 1991 .

[47]  A. Fomenko Variational Principles in Topology , 1990 .

[48]  J. Girard Proof Theory and Logical Complexity , 1989 .

[49]  Norihide Tokushige,et al.  A generalization of the katona theorem for crosst-intersecting families , 1989, Graphs Comb..

[50]  Norihide Tokushige,et al.  The exact bound in the Erdös-Ko-Rado theorem for cross-intersecting families , 1989, J. Comb. Theory, Ser. A.

[51]  M. Gromov,et al.  Partial Differential Relations , 1986 .

[52]  F. Almgren,et al.  Optimal isoperimetric inequalities , 1985 .

[53]  Z. Füredi,et al.  The number of triangles covering the center of an n-set , 1984 .

[54]  M. Gromov Filling Riemannian manifolds , 1983 .

[55]  László Lovász,et al.  Borsuk's theorem and the number of facets of centrally symmetric polytopes , 1982 .

[56]  T. Willmore EXISTENCE AND REGULARITY OF MINIMAL SURFACES ON RIEMANNIAN MANIFOLDS , 1982 .

[57]  I Barany,et al.  A GENERALIZATION OF CARATHEODORYS THEOREM , 1982 .

[58]  Imre Bárány,et al.  A generalization of carathéodory's theorem , 1982, Discret. Math..

[59]  H. Lawson,et al.  Calibrated geometries , 1982 .

[60]  Imre Bárány,et al.  On a Topological Generalization of a Theorem of Tverberg , 1981 .

[61]  I. Bárány,et al.  On a common generalization of Borsuk's and Radon's theorem , 1979 .

[62]  G. Harder,et al.  Existence of discrete cocompact subgroups of reductive groups over local fields. , 1978 .

[63]  Hermann Karcher,et al.  A general comparison theorem with applications to volume estimates for submanifolds , 1978 .

[64]  D. Sullivan On the intersection ring of compact three manifolds , 1975 .

[65]  A. Borel,et al.  Cohomologie de certains groupes discretes et lapiacien p-adique [d'après H. Garland] , 1975 .

[66]  Howard Garland,et al.  p-Adic Curvature and the Cohomology of Discrete Subgroups of p-Adic Groups , 1973 .

[67]  M. Pinsker,et al.  On the complexity of a concentrator , 1973 .

[68]  D. Kazhdan Connection of the dual space of a group with the structure of its close subgroups , 1967 .

[69]  F. Almgren,et al.  The homotopy groups of the integral cycle groups , 1962 .

[70]  J. G. Wendel A Problem in Geometric Probability. , 1962 .

[71]  Wendell H. Fleming,et al.  Normal and Integral Currents , 1960 .

[72]  John Milnor,et al.  THE GEOMETRIC REALIZATION OF A SEMI-SIMPLICIAL COMPLEX , 1957 .

[73]  Samuel Eilenberg,et al.  SEMI-SIMPLICIAL COMPLEXES AND SINGULAR HOMOLOGY , 1950 .