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OverviewThe 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. Full Product DetailsAuthor: Hans-Joachim Baues (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig) , Teimuraz PirashviliPublisher: Cambridge University Press Imprint: Cambridge University Press Volume: 297 ISBN: 9781107325890ISBN 10: 1107325897 Publication Date: 05 May 2013 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviews'... this book is heartily recommended to anyone interested in studying homotopy theories from a categorial point of view.' Zentralblatt MATH 'The reader will obtain very deep information on the structure of relevant categories. The text is very clearly written but the author substantially uses many previous results of his own as well as many other results ... the results are so excellent that they deserve some patience and effort.' EMS Newsletter 'This research monograph covers more than is promised in the title.' Nieuw Archief voor Wiskunde '... this book is heartily recommended to anyone interested in studying homotopy theories from a categorial point of view.' Zentralblatt MATH 'The reader will obtain very deep information on the structure of relevant categories. The text is very clearly written but the author substantially uses many previous results of his own as well as many other results ... the results are so excellent that they deserve some patience and effort.' EMS Newsletter 'This research monograph covers more than is promised in the title.' Nieuw Archief voor Wiskunde 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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