The Algebraic Characterization of Geometric 4-Manifolds

The Algebraic Characterization of Geometric 4-Manifolds PDF Author: J. A. Hillman
Publisher: Cambridge University Press
ISBN: 0521467780
Category : Mathematics
Languages : en
Pages : 184

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Book Description
This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces.

The Algebraic Characterization of Geometric 4-Manifolds

The Algebraic Characterization of Geometric 4-Manifolds PDF Author: J. A. Hillman
Publisher: Cambridge University Press
ISBN: 0521467780
Category : Mathematics
Languages : en
Pages : 184

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Book Description
This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces.

Symmetries and Integrability of Difference Equations

Symmetries and Integrability of Difference Equations PDF Author: Peter A. Clarkson
Publisher: Cambridge University Press
ISBN: 9780521596992
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This volume comprises state-of-the-art articles in discrete integrable systems.

The Atlas of Finite Groups - Ten Years On

The Atlas of Finite Groups - Ten Years On PDF Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 0521575877
Category : Mathematics
Languages : en
Pages : 315

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Book Description
Proceedings containing twenty articles by leading experts in group theory and its applications.

Descriptive Set Theory and Dynamical Systems

Descriptive Set Theory and Dynamical Systems PDF Author: M. Foreman
Publisher: Cambridge University Press
ISBN: 9780521786447
Category : Mathematics
Languages : en
Pages : 304

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Book Description
In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This volume, first published in 2000, contains a collection of survey papers by leading researchers covering a wide variety of recent developments in these subjects and their interconnections. This book provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.

Character Theory for the Odd Order Theorem

Character Theory for the Odd Order Theorem PDF Author: Thomas Peterfalvi
Publisher: Cambridge University Press
ISBN: 9780521646604
Category : Mathematics
Languages : en
Pages : 166

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Book Description
The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book provides the character-theoretic second part and thus completes the proof. All researchers in group theory should have a copy of this book in their library.

Tame Topology and O-minimal Structures

Tame Topology and O-minimal Structures PDF Author: Lou Van den Dries
Publisher: Cambridge University Press
ISBN: 0521598389
Category : Mathematics
Languages : en
Pages : 196

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Book Description
These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.

Topics in Symbolic Dynamics and Applications

Topics in Symbolic Dynamics and Applications PDF Author: F. Blanchard
Publisher: Cambridge University Press
ISBN: 9780521796606
Category : Mathematics
Languages : en
Pages : 268

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Book Description
This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.

Gröbner Bases and Applications

Gröbner Bases and Applications PDF Author: Bruno Buchberger
Publisher: Cambridge University Press
ISBN: 9780521632980
Category : Mathematics
Languages : en
Pages : 566

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Book Description
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

Groups St Andrews 1997 in Bath: Volume 2

Groups St Andrews 1997 in Bath: Volume 2 PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9780521655767
Category : Mathematics
Languages : en
Pages : 374

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Book Description
This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.

Groups St Andrews 1997 in Bath

Groups St Andrews 1997 in Bath PDF Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9780521655880
Category : Group theory
Languages : en
Pages : 396

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Book Description