This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.
This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.
General Introduction Part I. Homology Theory of Polyhedra: 1. Background to Part I 2. The Topology of Polyhedra 3. Homology Theory of Simplicial Complex 4. Chain Complexes 5. The Contrahomology Ring for Polyhedra 6. Abelian Groups and Homological Algebra 7. The Fundamental Group and Covering Spaces Part II. General Homology Theory 8. Background to Part II 9. Contrahomology and Maps 10. Singular Homology Theory 11. The Singular Contrahomology Ring 12. Special Homology Theory and Homology Theory of Groups Bibliography Index.
General Introduction Part I. Homology Theory of Polyhedra: 1. Background to Part I 2. The Topology of Polyhedra 3. Homology Theory of Simplicial Complex 4. Chain Complexes 5. The Contrahomology Ring for Polyhedra 6. Abelian Groups and Homological Algebra 7. The Fundamental Group and Covering Spaces Part II. General Homology Theory 8. Background to Part II 9. Contrahomology and Maps 10. Singular Homology Theory 11. The Singular Contrahomology Ring 12. Special Homology Theory and Homology Theory of Groups Bibliography Index.
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