Back to Math 615 — Algebraic Topology I
Generalized Cohomology, Spectra, and Spectral Sequences
These materials are provisional drafts, not a complete course. The plan proposes a dependency-ordered development; the opening notes contain a limited initial treatment of represented cohomology and finite filtrations. The remaining foundations and later lectures have not been completed.
Draft Downloads
- Provisional course plan and proposed appendix placement (PDF, 4 pages).
- Provisional opening notes: Cohomology, Spectra, and Filtrations (PDF, 4 pages).
Relationship to Math 615
The plan proposes integrating mapping complexes and Künneth material into the second course, while keeping geometric applications of first-course homology in the first course. No appendix has been removed or relocated in the current published-file package.