Stable Modules And The D 2 Problem

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Stable Modules And The D 2 Problem

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Author : F. E. A. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-11

Stable Modules And The D 2 Problem written by F. E. A. Johnson 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 2003-09-11 with Mathematics categories.

This 2003 book is concerned with two fundamental problems in low-dimensional topology. Firstly, the D(2)-problem, which asks whether cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The author shows that for a large class of fundamental groups these problems are equivalent. Moreover, in the case of finite groups, Professor Johnson develops general methods and gives complete solutions in a number of cases. In particular, he presents a complete treatment of Yoneda extension theory from the viewpoint of derived objects and proves that for groups of period four, two-dimensional homotopy types are parametrized by isomorphism classes of projective modules. This book is carefully written with an eye on the wider context and as such is suitable for graduate students wanting to learn low-dimensional homotopy theory as well as established researchers in the field.

Perturbation Of The Boundary In Boundary Value Problems Of Partial Differential Equations

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Author : Dan Henry
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-26

Perturbation Of The Boundary In Boundary Value Problems Of Partial Differential Equations written by Dan Henry 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 2005-05-26 with Mathematics categories.

This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.

Probability And Mathematical Genetics

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Author : N. H. Bingham
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-15

Probability And Mathematical Genetics written by N. H. Bingham 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 2010-07-15 with Mathematics categories.

No leading university department of mathematics or statistics, or library, can afford to be without this unique text. Leading authorities give a unique insight into a wide range of currently topical problems, from the mathematics of road networks to the genomics of cancer.

Synthetic Differential Geometry

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Author : Anders Kock
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-22

Synthetic Differential Geometry written by Anders Kock 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 2006-06-22 with Mathematics categories.

This book, first published in 2006, details how limit processes can be represented algebraically.

2019 20 Matrix Annals

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Author : Jan de Gier
language : en
Publisher: Springer Nature
Release Date : 2021-02-10

2019 20 Matrix Annals written by Jan de Gier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-10 with Mathematics categories.

MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.

Algebraic And Analytic Geometry

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Author : Amnon Neeman
language : en
Publisher: Cambridge University Press
Release Date : 2007-09-13

Algebraic And Analytic Geometry written by Amnon Neeman 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 2007-09-13 with Mathematics categories.

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Surveys In Combinatorics 2015

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Author : Artur Czumaj
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-02

Surveys In Combinatorics 2015 written by Artur Czumaj 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 2015-07-02 with Mathematics categories.

This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.

Inequalities For Graph Eigenvalues

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Author : Zoran Stanić
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-23

Inequalities For Graph Eigenvalues written by Zoran Stanić 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 2015-07-23 with Mathematics categories.

This book explores the inequalities for eigenvalues of the six matrices associated with graphs. Includes the main results and selected applications.

The Bloch Kato Conjecture For The Riemann Zeta Function

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Author : John Coates
language : en
Publisher: Cambridge University Press
Release Date : 2015-03-13

The Bloch Kato Conjecture For The Riemann Zeta Function written by John Coates 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 2015-03-13 with Mathematics categories.

A graduate-level account of an important recent result concerning the Riemann zeta function.

Syzygies And Homotopy Theory

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Author : F.E.A. Johnson
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-17

Syzygies And Homotopy Theory written by F.E.A. Johnson 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 2011-11-17 with Mathematics categories.

The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. Syzygies and Homotopy Theory explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents, for the first time, a systematic rehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. The first part of the book is theoretical, formulated to allow a general finitely presented group as a fundamental group. The innovation here is to regard syzygies as stable modules rather than minimal modules. Inevitably this forces a reconsideration of the problems of noncancellation; these are confronted in the second, practical, part of the book. In particular, the second part of the book considers how the theory works out in detail for the specific examples Fn ́F where Fn is a free group of rank n and F is finite. Another innovation is to parametrize the first syzygy in terms of the more familiar class of stably free modules. Furthermore, detailed description of these stably free modules is effected by a suitable modification of the method of Milnor squares. The theory developed within this book has potential applications in various branches of algebra, including homological algebra, ring theory and K-theory. Syzygies and Homotopy Theory will be of interest to researchers and also to graduate students with a background in algebra and algebraic topology.