Algebraic Topology Maunder C. R. F.Paperback
Algebraic Topology Maunder C. R. F.Paperback Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated and modern treatment of elementary…
Specifikacia Algebraic Topology Maunder C. R. F.Paperback
Algebraic Topology Maunder C. R. F.Paperback
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 translation process is usually carried out by means of the homology or homotopy groups of a topological space. 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.
Other important topics covered are 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.