LMS: 244 Model Theory Grps Auto Grp: Blaubeuren, August 1995

LMS: 244 Model Theory Grps Auto Grp: Blaubeuren, August 1995 book cover

LMS: 244 Model Theory Grps Auto Grp: Blaubeuren, August 1995

Author(s): David M. Evans (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Language: English
  • Print length: 232 pages
  • ISBN-10: 052158955X
  • ISBN-13: 9780521663762

Book Description

This volume surveys recent interactions between model theory and other branches of mathematics, notably group theory. Beginning with an introductory chapter describing relevant background material, the book contains contributions from many leading international figures in this area. Topics described include automorphism groups of algebraically closed fields, the model theory of pseudo-finite fields and applications to the subgroup structure of finite Chevalley groups. Model theory of modules, and aspects of model theory of various classes of groups, including free groups, are also discussed. The book also contains the first comprehensive survey of finite covers. Many new proofs and simplifications of recent results are presented and the articles contain many open problems. This book will be a suitable guide for graduate students and a useful reference for researchers working in model theory and algebra.

Editorial Reviews

Review

‘The interesting articles range from purely group theoretic ones to mainly model theoretic ones … and reflect impressively the prolific interaction between these two fields.’ Monatshefte für Mathematik

Book Description

Surveys recent interactions between model theory and other branches of mathematics, notably group theory.

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LMS: 20 Sheaf Theory

LMS: 20 Sheaf Theory book cover

LMS: 20 Sheaf Theory

Author(s): B. R. Tennison (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Language: English
  • Print length: 176 pages
  • ISBN-10: 0521207843
  • ISBN-13: 9780521207843

Book Description

Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local and global properties. It finds its main applications in topology and modern algebraic geometry where it has been used as a tool for solving, with great success, several long-standing problems. This text is based on a lecture course for graduate pure mathematicians which builds up enough of the foundations of sheaf theory to give a broad definition of manifold, covering as special cases the algebraic geometer’s schemes as well as the topological, differentiable and analytic kinds, and to define sheaf cohomology for application to such objects. Exercises are provided at the end of each chapter and at various places in the text. Hints and solutions to some of them are given at the end of the book.

Editorial Reviews

Book Description

Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local and global properties.

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