Axiomization Of Passage From Local Structure To Global Object

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Axiomization Of Passage From Local Structure To Global Object

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Author : Paul Feit
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Axiomization Of Passage From Local Structure To Global Object written by Paul Feit and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

Requiring only familiarity with the terminology of categories, this book will interest algebraic geometers and students studying schemes for the first time. Feit translates the geometric intuition of local structure into a purely categorical format, filling a gap at the foundations of algebraic geometry. The main result is that, given an initial category ${\mathcal C}$ of ""local"" objects and morphisms, there is a canonical enlargement of ${\mathcal C}$ to a category ${\mathcal C}^{gl}$ which contains all 'global' objects whose local structure derives from ${\mathcal C}$ and which is functorially equivalent to the traditional notion of 'global objects'. Using this approach, Feit unifies definitions for numerous technical objects of algebraic geometry, including schemes, Tate's rigid analytic spaces, and algebraic spaces.

Deformation Theory Of Pseudogroup Structures

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Author : Victor Guillemin
language : en
Publisher: American Mathematical Soc.
Release Date : 1966

Deformation Theory Of Pseudogroup Structures written by Victor Guillemin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Differential categories.

Lattice Structures On Banach Spaces

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Author : Nigel John Kalton
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Lattice Structures On Banach Spaces written by Nigel John Kalton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

The general problem addressed in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The basic questions of uniqueness of lattice structure for function spaces have been studied before, but here the approach uses random measure representations for operators in a new way to obtain more powerful conclusions.

Markov Cell Structures Near A Hyperbolic Set

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Author : F. Thomas Farrell
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Markov Cell Structures Near A Hyperbolic Set written by F. Thomas Farrell and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.

Rankin Selberg Convolutions For Mathrm So 2 Ell 1 Times Mathrm Gl N Local Theory

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Author : David Soudry
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Rankin Selberg Convolutions For Mathrm So 2 Ell 1 Times Mathrm Gl N Local Theory written by David Soudry and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

On t.p. "o2olo+o1" and "on" are subscript.

Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines

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Author : Eriko Hironaka
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines written by Eriko Hironaka and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.

A Topological Chern Weil Theory

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Author : Anthony Valiant Phillips
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

A Topological Chern Weil Theory written by Anthony Valiant Phillips and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

We examine the general problem of computing characteristic invariants of principal bundles whose structural group [italic capital]G is a topological group. Under the hypothesis that [italic capital]G has real cohomology finitely generated as an [bold]R-module, we are able to give a completely topological, local method for computing representative cocycles for real characteristic classes; our method applies, for example, to the (homologically) 10-dimensional non-Lie group of Hilton-Roitberg-Stasheff.

Littlewood Paley Theory On Spaces Of Homogeneous Type And The Classical Function Spaces

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Author : Yongsheng Han
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Littlewood Paley Theory On Spaces Of Homogeneous Type And The Classical Function Spaces written by Yongsheng Han and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calder 'on reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.

Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains

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Author : Edward Norman Dancer
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains written by Edward Norman Dancer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

In this paper, we discuss the existence, uniqueness and asymptotic behavior of positive solutions of the equation −[capital Greek]Delta[italic]u = [lowercase Greek]Lambda[function]ƒ([italic]u) in [capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n], [and] [italic]u = 0 on [partial derivative/boundary/degree of a polynomial symbol]([capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n]) for [italic]n large. Here [capital Greek]Omega[surmounted by macron] is a bounded domain in [italic capital]R[superscript italic]k with smooth boundary. Note that by rescaling the equation (including [lowercase Greek]Lambda), our theory covers problems on domains ([set membership symbol][capital Greek]Omega[surmounted by macron]) [times symbol] [−1,1] where [set membership symbol] is small.

Duality And Definability In First Order Logic

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Author : Michael Makkai
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Duality And Definability In First Order Logic written by Michael Makkai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

We develop a duality theory for small Boolean pretoposes in which the dual of the [italic capital]T is the groupoid of models of a Boolean pretopos [italic capital]T equipped with additional structure derived from ultraproducts. The duality theorem states that any small Boolean pretopos is canonically equivalent to its double dual. We use a strong version of the duality theorem to prove the so-called descent theorem for Boolean pretoposes which says that category of descent data derived from a conservative pretopos morphism between Boolean pretoposes is canonically equivalent to the domain-pretopos. The descent theorem contains the Beth definability theorem for classical first order logic. Moreover, it gives, via the standard translation from the language of categories to symbolic logic, a new definability theorem for classical first order logic concerning set-valued functors on models, expressible in purely syntactical (arithmetical) terms.