Descriptive Set Theory And The Structure Of Sets Of Uniqueness

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Descriptive Set Theory And The Structure Of Sets Of Uniqueness

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Author : A. S. Kechris
language : en
Publisher: Cambridge University Press
Release Date : 1987-11-27

Descriptive Set Theory And The Structure Of Sets Of Uniqueness written by A. S. Kechris and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-11-27 with Mathematics categories.

To make this work accessible to logicians as well as set theorists and analysts, classical and modern theory of sets of uniqueness are covered as well as the relevant parts of descriptive set theory.

Classical Descriptive Set Theory

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Author : Alexander Kechris
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Classical Descriptive Set Theory written by Alexander Kechris and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. It includes a wide variety of examples, exercises (over 400), and applications, in order to illustrate the general concepts and results of the theory. This text provides a first basic course in classical descriptive set theory and covers material with which mathematicians interested in the subject for its own sake or those that wish to use it in their field should be familiar. Over the years, researchers in diverse areas of mathematics, such as logic and set theory, analysis, topology, probability theory, etc., have brought to the subject of descriptive set theory their own intuitions, concepts, terminology and notation.

The Descriptive Set Theory Of Polish Group Actions

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Author : Howard Becker
language : en
Publisher: Cambridge University Press
Release Date : 1996-12-05

The Descriptive Set Theory Of Polish Group Actions written by Howard Becker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-05 with Mathematics categories.

In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.

The Subgroup Structure Of The Finite Classical Groups

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Author : Peter B. Kleidman
language : en
Publisher: Cambridge University Press
Release Date : 1990-04-26

The Subgroup Structure Of The Finite Classical Groups written by Peter B. Kleidman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-26 with Mathematics categories.

With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.

Selected Works Of Ilya Piatetski Shapiro

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Author : James Cogdell
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-03

Selected Works Of Ilya Piatetski Shapiro written by James Cogdell and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-03 with Mathematics categories.

This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Polynomial Invariants Of Finite Groups

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Author : D. J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 1993-10-07

Polynomial Invariants Of Finite Groups written by D. J. Benson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-07 with Mathematics categories.

This is the first book to deal with invariant theory and the representations of finite groups.

Characters And Automorphism Groups Of Compact Riemann Surfaces

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Author : Thomas Breuer
language : en
Publisher: Cambridge University Press
Release Date : 2000-09-21

Characters And Automorphism Groups Of Compact Riemann Surfaces written by Thomas Breuer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-21 with Mathematics categories.

Addresses a topic from classical analysis using modern algebraic and computational tools. For graduates and researchers.

Aspects Of Galois Theory

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Author : Helmut Völklein
language : en
Publisher: Cambridge University Press
Release Date : 1999-07-29

Aspects Of Galois Theory written by Helmut Völklein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-29 with Mathematics categories.

Galois theory is a central part of algebra, dealing with symmetries between solutions of algebraic equations in one variable. This is a collection of papers from the participants of a conference on Galois theory, and brings together articles from some of the world's leading experts in this field. Topics are centred around the Inverse Galois Problem, comprising the full range of methods and approaches in this area, making this an invaluable resource for all those whose research involves Galois theory.

Singularity Theory

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Author : Bill Bruce
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-03

Singularity Theory written by Bill Bruce and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-03 with Computers categories.

An up-to-date survey of research in singularity theory.

Topics In Varieties Of Group Representations

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Author : Samuel M. Vovsi
language : en
Publisher: Cambridge University Press
Release Date : 1991-11-28

Topics In Varieties Of Group Representations written by Samuel M. Vovsi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-28 with Mathematics categories.

This book is devoted to the theory of group representations, a young and promising area of modern algebra. It provides a detailed exposition of several central topics in the field, leading to the most current advances and developments. Much of the included material has never been available in book form before. It is intended for a broad audience of researchers and graduate students, working in abstract algebra and its many applications.