Elements of Combinatorial and Differential Topology

V. V. Prasolov (Autor)

Buch | Softcover

331 Seiten

2006
American Mathematical Society (Verlag)
978-1-4704-6944-3 (ISBN)

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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.

V. V. Prasolov, Independent University of Moscow, Russia.

Basic definitions
Graphs
Topology in Euclidean space
Topological spaces
Two-dimensional surfaces, coverings, bundles, and homotopy groups
Manifolds
Fundamental groups
Hints and solutions
Bibliography
Index

Erscheinungsdatum	24.10.2023
Reihe/Serie	Graduate Studies in Mathematics
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-6944-8 / 1470469448
ISBN-13	978-1-4704-6944-3 / 9781470469443
Zustand	Neuware