Curriculum/syllabus for oral exam

  • Chapter 0:
    • pages 1-16 (omit Prop. 0.18-Cor. 0.21).
  • Chapter 1:
    • 1.1: pages 25-38,
    • 1.2: pages 40-52  (only do van Kampen's theorem for two open sets; omit Ex. 1.23 and Ex. 1.24),
    • 1.3: pages 56-73,
    • 1.B: pages 87-91.
  • Chapter 2:
    • 2.1: pages 102-130 (use notes on excision in place of Prop. 2.21),
    • 2.2: pages 134-153 (omit mapping telescope, Ex. 2.38, Ex. 2.39, Ex. 2.48 and homology with coefficients),
    • 2.3: pages 160-165,
    • 2.A: pages 166-167,
    • 2.B: pages 169-172 (omit Ex. 2B.2).

(Corrected May 20th, changing Ex. 2.29 to Ex. 2.39.)

By John Rognes
Published May 12, 2026 3:02 PM - Last modified May 20, 2026 10:05 PM