Algebraic Topology (Dover Books on Mathematics)

Algebraic Topology (Dover Books on Mathematics)

Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. The presentation of the homotopy theory and the account of duality in homology manifolds make the text ideal for a course on either homotopy or homology theory.
The idea of algebraic topology is to translate problems in topology into problems in algebra with the hope that they have a better chance of solution. The translation process is usually carried out by means of the homology or homotopy groups of a topological space. Much of the book is therefore concerned with the construction of these algebraic invariants, and with applications to topological problems, such as the classification of surfaces and duality theorems for manifolds. Other important topics covered are homotopy theory, CW-complexes and the co-homology groups associated with a general Î©-spectrum.
Dr. Maunder has provided many examples and exercises as an aid, and the notes and references at the end of each chapter trace the historical development of the subject and also point the way to more advanced results.
"Throughout the text the style of writing is first class. The author has given much attention to detail, yet ensures that the reader knows where he is going. An excellent book." â€” Bulletin of the Institute of Mathematics and Its Applications.
Country USA
Brand Dover Publications
Manufacturer Dover Publications
Binding Paperback
ItemPartNumber 73figs.
ReleaseDate 1996-06-14
UnitCount 1
UPCs 800759691319
EANs 9780486691312

Country	USA
Brand	Dover Publications
Manufacturer	Dover Publications
Binding	Paperback
ItemPartNumber	73figs.
ReleaseDate	1996-06-14
UnitCount	1
UPCs	800759691319
EANs	9780486691312

Algebraic Topology (Dover Books on Mathematics)

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