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| LEC # | TOPICS |
|---|---|
| 1 | Introduction (PDF) |
| 2 | Steenrod operations (PDF) |
| 3 | Basic properties of Steenrod operations (PDF) |
| 4 | The Adem relations (PDF) |
| 5 | The Adem relations (cont.) (PDF) |
| 6 | Admissible monomials (PDF) |
| 7 | Free unstable modules (PDF) |
| 8 | A theorem of Gabriel-Kuhn-Popesco (PDF) |
| 9 | Injectivity of the cohomology of BV (PDF) |
| 10 | Generating analytic functors (PDF) |
| 11 | Tensor products and algebras (PDF) |
| 12 | Free unstable algebras (PDF) |
| 13 | The dual Steenrod algebra (PDF) |
| 14 | The Frobenius (PDF) |
| 15 | Finiteness conditions (PDF) |
| 16 | Some unstable injectives (PDF) |
| 17 | Injectivity of tensor products (PDF) |
| 18 | Lannes' T-functor (PDF) |
| 19 | Properties of T (PDF) |
| 20 | The T-functor and unstable algebras (PDF) |
| 21 | Free E-infinity algebras (PDF) |
| 22 | A pushout square (PDF) |
| 23 | The Eilenberg-Moore spectral sequence (PDF) |
| 24 | Operations on E-infinity algebras (PDF) |
| 25 | T and the cohomology of spaces (PDF) |
| 26 | Profinite spaces (PDF) |
| 27 | p-adic homotopy theory (PDF) |
| 28 | Atomicity (PDF) |
| 29 | Atomicity of connected p-Finite spaces (PDF) |
| 30 | The Sullivan conjecture (PDF) |
| 31 | p-Profinite completion of spaces (PDF) |
| 32 | The arithmetic square (PDF) |
| 33 | The Sullivan conjecture revisited (PDF) |
| 34 | Quaternionic projective space (PDF) |
| 35 | Analytic functors revisited (PDF) |
| 36 | The Nil-filtration (PDF) |
| 37 | The Krull filtration (PDF) |
| 38 | Epilogue (PDF) |