Overview

Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes. This book provides a modern treatment of a long established set of questions in algebraic topology. The author is a leading figure in this important research area.

Full Product Details

Author:   Hans-Joachim Baues (Professor, Professor, Max-Planck-Institut, Bonn)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.20cm , Height: 3.30cm , Length: 24.10cm
Weight:   0.886kg
ISBN:  

9780198514824

ISBN 10:   0198514824
Pages:   502
Publication Date:   02 May 1996
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

Introduction 1: Linear extension and Moore spaces 2: Invariants of homotopy types 3: On the classification of homotopy types 4: The CW-tower of categories 5: Spaniert-Whitehead duality and the stable CW-tower 6: Eilenberg-Mac Lane functors 7: Moore functors 8: The homotopy category of (n -1)-connected (n+1)-types 8: On the homotopy classification of (n-1)-connected (n+3)-dimensional polyhedra, n>4 9: On the homotopy classification of 2-connected 6-dimensional polyhedra 10: Decomposition of homotopy types 11: Homotopy groups in dimension 4 12: On the homotopy classification of simply connected 5-dimensional polyhedra 13: Primary homotopy operations and homotopy groups of mapping cones Bibliography Index

Reviews

Because of its new results and techniques and its comprehensive coverage of the classification of homotopy types of simply-connected complexes with cells in only four consecutive dimensions and dual case, the book is necessary reading for graduate students and researchers in the field and for others who may wish to use results on homotopy classification in other areas such as classification of manifolds. Zentrall fur Mathematik, vol. 857, 1997

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