The Homotopy Category of Simply Connected 4-Manifolds
The Homotopy Category of Simply Connected 4-Manifolds
Hans-Joachim Baues, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
Teimuraz Pirashvili
Teimuraz Pirashvili
May 2013
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9781107108653
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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.
- Methods used include new models of 4-manifolds
- Appeal to both researchers and graduate students in the field
Reviews & endorsements
"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
Product details
May 2013Adobe eBook Reader
9781107108653
0 pages
0kg
150 b/w illus.
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
