Syllabus
L1
L2 Spectra
L3 Stable Homotopy Category
L4 Generalized cohomology
L5 Homotopy groups
L6 Suspension is an equivalence
L7 Cofiber sequences are fiber sequences
L8 Spanier-Whitehead duality
L9 Alexander duality
L9 Figures
L10 Atiyah duality
L11 Generalized homology
L12 Spectral sequences
L13 Atiyah Hirzebruch spectral sequence
L14 K-theory, KO-theory, James Periodicity
L15 Vector fields on spheres
L16 Adams operations
L17 Computatons and application to vector fields
L18 Smash product
L19 Abstract homotopy theory
L20 Ring Spectra
L21 Generalizations of degree
L22 Adams spectral sequence
L23 Hopf invariant one