Homotopy Category of Simply Connected 4-Manifolds

Klappentext 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. Zusammenfassung A book on homotopy theory! written to appeal to both established researchers in the field and graduate students interested in topology and algebra. The techniques used in this book include the use of some new algebraic models of 4-manifolds. There is a full list of references. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Hans-Joachim Baues, Hans-Joachim (Max-Planck-Institut Fur Mathe Baues, Hans-Joachim (Max-Planck-Institut fur Mathematik in den Naturwissenschaften Baues
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 03.04.2003
• EAN: 9780521531030
• ISBN: 978-0-521-53103-0
• Pagine: 196
• Serie: London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria