Algebraic topology : a first course / William Fulton.

• Part 1: Calculus in the plane -- 1. Path integrals -- 2. Angles and deformations -- Part 2: Winding numbers -- 3. The winding number -- 4. Application of Winding Numbers -- Part 3: Cohomology and homology, I -- 5. De Rham cohomology and the Jordan curve theorem -- 6. Homology -- Part 4: Vector fields -- 7. Indices of vector foelds -- 8- Vector fields on surfaces -- Part 5: Cohomology and homology, II -- 9. Holes and integrals -- 10. Mayer-Vietoris -- Part 6: Covering spaces and fundamental groups, I -- 11. Covering spaces -- 12. The fundamental group -- Part 7: Covering spaces and fundamental groups, II -- 13. The fundamental group and covering in spaces -- 14. The Van Kampen theorem -- Part 8: Cohomology and homology, III -- 15. Cohomology -- 16. Variations -- Part 9: Topology of surfaces -- 17. The topology of surfaces -- 18. Cohomology on surfaces -- Part 10. Riemann surfaces -- 19. Riemann surfaces -- 20. Riemann surfaces and algebraic curves -- 21. The Riemann-Rock theorem -- Part 11: Higher dimensions -- 22. Toward higher dimensions -- 23. Higher homology -- 24. Duality -- Appendices. 

Ämnesord

Algebraic topology  (LCSH)

Path integrals  (LCSH)

Covering spaces (Topology)  (LCSH)

Fundamental groups (Mathematics)  (LCSH)

Riemann surfaces  (LCSH)

Indexterm och SAB-rubrik

Winding numbers

Homology

Tep Topologi

Klassifikation

515.1 (UDK)

514.2 (DDC)

QA 612

55-01 (msc)

30-01 (msc)

57-01 (msc)

Tepb (kssb/6)