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The Homotopy Category of Simply Connected 4-Manifolds
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The Homotopy Category of Simply Connected 4-Manifolds

Book Details

Format Paperback / Softback
ISBN-10 0521531039
ISBN-13 9780521531030
Publisher Cambridge University Press
Imprint Cambridge University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Apr 3rd, 2003
Print length 196 Pages
Weight 282 grams
Dimensions 22.90 x 15.30 x 1.30 cms
Product Classification: Algebra Geometry
Ksh 9,200.00 Manufactured on Demand

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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.
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.

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