The Homotopy Category of Simply Connected 4-Manifolds

by Hans-Joachim Baues

Overview

This study is concerned with computing the homotopy classes of maps algebraically and determining the law of composition for such maps. The problem is solved by introducing new algebraic models of a 4-manifold. Including a complete list of references for the text, the book appeals to researchers and graduate students in topology and algebra.

Product Details

ISBN-13:	9780521531030
Publisher:	Cambridge University Press
Publication date:	04/03/2003
Series:	London Mathematical Society Lecture Note Series , #297
Edition description:	New Edition
Pages:	196
Product dimensions:	6.02(w) x 9.02(h) x 0.51(d)

Table of Contents

Introduction; 1. The homotopy category of (2,4)-complexes; 2. The homotopy category of simply connected 4-manifolds; 3. Track categories; 4. The splitting of the linear extension TL; 5. The category T Gamma and an algebraic model of CW(2,4); 6. Crossed chain complexes and algebraic models of tracks; 7. Quadratic chain complexes and algebraic models of tracks; 8. On the cohomology of the category nil.

Editorial Reviews

"This book is clearly the last word on the homotopy category of simply-connected 4-mannifolds and related spaces. It should prove indispensable to workers in the area." AMS Mathematical Reviews, Laurence R. Taylor

From the Publisher