Elements of Combinatorial and Differential Topology
Prasolov, V. V
Elements of Combinatorial and Differential Topology / V V Prasolov - New Delhi :University Press 2014 - xii, 331 pages : illustrations ; 27 cm
Graphs --
Topology in Euclidean space --
Topological spaces --
Two-dimensional surfaces, coverings, bundles, and homotopy groups --
Manifolds --
Fundamental groups.
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
9781470419158
Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092
Mathematics
Topology
Combinatorial topology.
Low-dimensional topology.
Topological manifolds.
Topologie de basse dimension.
Niederdimensionale Topologie
514.22 PRA
Elements of Combinatorial and Differential Topology / V V Prasolov - New Delhi :University Press 2014 - xii, 331 pages : illustrations ; 27 cm
Graphs --
Topology in Euclidean space --
Topological spaces --
Two-dimensional surfaces, coverings, bundles, and homotopy groups --
Manifolds --
Fundamental groups.
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
9781470419158
Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092
Mathematics
Topology
Combinatorial topology.
Low-dimensional topology.
Topological manifolds.
Topologie de basse dimension.
Niederdimensionale Topologie
514.22 PRA
