Prasolov, V. V creator Prasolov, V. V. text New Delhi :University Press 2014 monographic eng

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xii, 331 pages : illustrations ; 27 cm Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed." "One of the main goals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology." "The book contains many problems; almost all of them are supplied with hints or complete solutions."--Jacke Graphs -- Topology in Euclidean space -- Topological spaces -- Two-dimensional surfaces, coverings, bundles, and homotopy groups -- Manifolds -- Fundamental groups. / V V Prasolov Mathematics Topology Combinatorial topology Low-dimensional topology Topological manifolds Topologie de basse dimension Niederdimensionale Topologie 514.22 PRA 9781470419158 :Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092 211130 20211130152211.0