Hans-Joachim Baues

The Homotopy Category of Simply Connected 4-Manifolds

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 196
• Erscheinungstermin: 3. April 2003
• Englisch
• Abmessung: 230mm x 151mm x 17mm
• Gewicht: 276g
• ISBN-13: 9780521531030
• ISBN-10: 0521531039
• Artikelnr.: 21605763

Inhaltsangabe

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.