Read Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301)

Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301)

F.E.A. Johnson

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Description:This 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301). To get started finding Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0521537495

Description: This 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301). To get started finding Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301)

Stable Modules and the D(2)-Problem (London Mathematical Society Lecture Note Series, Series Number 301)

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