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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) |