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