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The Homotopy Category of Simply Connected 4-Manifolds

Paperback Engels 2003 9780521531030
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes of maps algebraically and determining the law of composition for such maps. This problem is solved in the book by introducing new algebraic models of a 4-manifold. The book has been written to appeal to both established researchers in the field and graduate students interested in topology and algebra. There are many references to the literature for those interested in further reading.

Specificaties

ISBN13:9780521531030
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:196

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Inhoudsopgave

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.

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        The Homotopy Category of Simply Connected 4-Manifolds