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Book Potential Wadge Classes

    Book Details:
  • Author : Dominique Lecomte
  • Publisher : American Mathematical Soc.
  • Release : 2013-01-25
  • ISBN : 0821875574
  • Pages : 83 pages

Download or read book Potential Wadge Classes written by Dominique Lecomte and published by American Mathematical Soc.. This book was released on 2013-01-25 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ be a cardinal. A Borel subset $B$ of ${\mathbb R}^d$ is potentially in $\bf\Gamma$ if there is a finer Polish topology on $\mathbb R$ such that $B$ is in $\bf\Gamma$ when ${\mathbb R}^d$ is equipped with the new product topology. The author provides a way to recognize the sets potentially in $\bf\Gamma$ and applies this to the classes of graphs (oriented or not), quasi-orders and partial orders.

Book Logic  Methodology and Philosophy of Science IX

Download or read book Logic Methodology and Philosophy of Science IX written by D. Prawitz and published by Elsevier. This book was released on 1995-01-10 with total page 1005 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the product of the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science and contains the text of most of the invited lectures. Divided into 15 sections, the book covers a wide range of different issues. The reader is given the opportunity to learn about the latest thinking in relevant areas other than those in which they themselves may normally specialise.

Book Report on Progress of the Works Program

Download or read book Report on Progress of the Works Program written by United States. Works Progress Administration and published by . This book was released on 1936 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Potential for Work Among Welfare Parents

Download or read book The Potential for Work Among Welfare Parents written by United States. Dept. of Labor. Manpower Administration and published by . This book was released on 1969 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Bulletin of Symbolic Logic

Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2007 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Characterization and Topological Rigidity of Nobeling Manifolds

Download or read book Characterization and Topological Rigidity of Nobeling Manifolds written by Andrzej Nagórko and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author develops a theory of Nobeling manifolds similar to the theory of Hilbert space manifolds. He shows that it reflects the theory of Menger manifolds developed by M. Bestvina and is its counterpart in the realm of complete spaces. In particular the author proves the Nobeling manifold characterization conjecture.

Book The Poset of  k  Shapes and Branching Rules for  k  Schur Functions

Download or read book The Poset of k Shapes and Branching Rules for k Schur Functions written by Thomas Lam and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian $\mathrm{Gr}_{\mathrm{SL}_k}$ into Schubert homology classes in $\mathrm{Gr}_{\mathrm{SL}_{k+1}}$. This is achieved by studying the combinatorics of a new class of partitions called $k$-shapes, which interpolates between $k$-cores and $k+1$-cores. The authors define a symmetric function for each $k$-shape, and show that they expand positively in terms of dual $k$-Schur functions. They obtain an explicit combinatorial description of the expansion of an ungraded $k$-Schur function into $k+1$-Schur functions. As a corollary, they give a formula for the Schur expansion of an ungraded $k$-Schur function.

Book Global Regularity for the Yang Mills Equations on High Dimensional Minkowski Space

Download or read book Global Regularity for the Yang Mills Equations on High Dimensional Minkowski Space written by Joachim Krieger and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on $(6+1)$ and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space $\dot{H}_A^{(n-4)/{2}}$. Regularity is obtained through a certain ``microlocal geometric renormalization'' of the equations which is implemented via a family of approximate null Cronstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic $L^p$ spaces, and also proving some bilinear estimates in specially constructed square-function spaces.

Book Elliptic Partial Differential Equations with Almost Real Coefficients

Download or read book Elliptic Partial Differential Equations with Almost Real Coefficients written by Ariel Barton and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the author investigates divergence-form elliptic partial differential equations in two-dimensional Lipschitz domains whose coefficient matrices have small (but possibly nonzero) imaginary parts and depend only on one of the two coordinates. He shows that for such operators, the Dirichlet problem with boundary data in $L^q$ can be solved for $q1$ small enough, and provide an endpoint result at $p=1$.

Book The Reductive Subgroups of  F 4

Download or read book The Reductive Subgroups of F 4 written by David I. Stewart and published by American Mathematical Soc.. This book was released on 2013-04-22 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $G=G(K)$ be a simple algebraic group defined over an algebraically closed field $K$ of characteristic $p\geq 0$. A subgroup $X$ of $G$ is said to be $G$-completely reducible if, whenever it is contained in a parabolic subgroup of $G$, it is contained in a Levi subgroup of that parabolic. A subgroup $X$ of $G$ is said to be $G$-irreducible if $X$ is in no proper parabolic subgroup of $G$; and $G$-reducible if it is in some proper parabolic of $G$. In this paper, the author considers the case that $G=F_4(K)$. The author finds all conjugacy classes of closed, connected, semisimple $G$-reducible subgroups $X$ of $G$. Thus he also finds all non-$G$-completely reducible closed, connected, semisimple subgroups of $G$. When $X$ is closed, connected and simple of rank at least two, he finds all conjugacy classes of $G$-irreducible subgroups $X$ of $G$. Together with the work of Amende classifying irreducible subgroups of type $A_1$ this gives a complete classification of the simple subgroups of $G$. The author also uses this classification to find all subgroups of $G=F_4$ which are generated by short root elements of $G$, by utilising and extending the results of Liebeck and Seitz.

Book On Central Critical Values of the Degree Four L Functions for GSp  4   The Fundamental Lemma  III

Download or read book On Central Critical Values of the Degree Four L Functions for GSp 4 The Fundamental Lemma III written by Masaaki Furusawa and published by American Mathematical Soc.. This book was released on 2013-08-23 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of Böcherer's conjecture on the central critical values of the degree four -functions for , and proved the relevant fundamental lemmas. Recently, the first and second authors proposed an alternative third relative trace formula to approach the same problem and proved the relevant fundamental lemma. In this paper the authors extend the latter fundamental lemma and the first of the former fundamental lemmas to the full Hecke algebra. The fundamental lemma is an equality of two local relative orbital integrals. In order to show that they are equal, the authors compute them explicitly for certain bases of the Hecke algebra and deduce the matching.

Book Isolated Involutions in Finite Groups

Download or read book Isolated Involutions in Finite Groups written by Rebecca Waldecker and published by American Mathematical Soc.. This book was released on 2013-10-23 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a new proof of Glauberman's Z*-Theorem under the additional hypothesis that the simple groups involved in the centraliser of an isolated involution are known simple groups.

Book On Some Aspects of Oscillation Theory and Geometry

Download or read book On Some Aspects of Oscillation Theory and Geometry written by Bruno Bianchini and published by American Mathematical Soc.. This book was released on 2013-08-23 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to analyze some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian manifolds with related topological and geometric applications. To keep their investigation basically self-contained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view.

Book The Sine Gordon Equation in the Semiclassical Limit  Dynamics of Fluxon Condensates

Download or read book The Sine Gordon Equation in the Semiclassical Limit Dynamics of Fluxon Condensates written by Robert J. Buckingham and published by American Mathematical Soc.. This book was released on 2013-08-23 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases.

Book On the Steady Motion of a Coupled System Solid liquid

Download or read book On the Steady Motion of a Coupled System Solid liquid written by Josef Bemelmans and published by American Mathematical Soc.. This book was released on 2013-10-23 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the unconstrained (free) motion of an elastic solid $\mathcal B$ in a Navier-Stokes liquid $\mathcal L$ occupying the whole space outside $\mathcal B$, under the assumption that a constant body force $\mathfrak b$ is acting on $\mathcal B$. More specifically, the authors are interested in the steady motion of the coupled system $\{\mathcal B,\mathcal L\}$, which means that there exists a frame with respect to which the relevant governing equations possess a time-independent solution. The authors prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of $\mathcal B$ satisfies suitable geometric properties.

Book Gromov  Cauchy and Causal Boundaries for Riemannian  Finslerian and Lorentzian Manifolds

Download or read book Gromov Cauchy and Causal Boundaries for Riemannian Finslerian and Lorentzian Manifolds written by Jose Luis Flores and published by American Mathematical Soc.. This book was released on 2013-10-23 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently, the old notion of causal boundary for a spacetime $V$ has been redefined consistently. The computation of this boundary $\partial V$ on any standard conformally stationary spacetime $V=\mathbb{R}\times M$, suggests a natural compactification $M_B$ associated to any Riemannian metric on $M$ or, more generally, to any Finslerian one. The corresponding boundary $\partial_BM$ is constructed in terms of Busemann-type functions. Roughly, $\partial_BM$ represents the set of all the directions in $M$ including both, asymptotic and ``finite'' (or ``incomplete'') directions. This Busemann boundary $\partial_BM$ is related to two classical boundaries: the Cauchy boundary $\partial_{C}M$ and the Gromov boundary $\partial_GM$. The authors' aims are: (1) to study the subtleties of both, the Cauchy boundary for any generalized (possibly non-symmetric) distance and the Gromov compactification for any (possibly incomplete) Finsler manifold, (2) to introduce the new Busemann compactification $M_B$, relating it with the previous two completions, and (3) to give a full description of the causal boundary $\partial V$ of any standard conformally stationary spacetime.

Book Kuznetsov s Trace Formula and the Hecke Eigenvalues of Maass Forms

Download or read book Kuznetsov s Trace Formula and the Hecke Eigenvalues of Maass Forms written by Andrew Knightly and published by American Mathematical Soc.. This book was released on 2013-06-28 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. The result is a variant which incorporates a Hecke eigenvalue in addition to two Fourier coefficients on the spectral side. The authors include a proof of a Weil bound for the generalized twisted Kloosterman sums which arise on the geometric side. As an application, they show that the Hecke eigenvalues of Maass forms at a fixed prime, when weighted as in the Kuznetsov formula, become equidistributed relative to the Sato-Tate measure in the limit as the level goes to infinity.