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Topics in Algebraic Topology: The Sullivan Conjecture >> Content Detail



Lecture Notes



Lecture Notes

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

 








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