Topics in Algebraic Topology The Sullivan Conjecture by Prof. Jacob Lurie
File Type :Online Number of Pages :NA
Description The
goal of this note is to describe some of the tools which enter into the proof of
Sullivan's conjecture. Topics covered includes: Steenrod operations, The Adem
relations, Admissible monomials, Free unstable modules, A theorem of
GabrielKuhnPopesco, Injectivity of the cohomology of BV, Generating analytic
functors, Tensor products and algebras, Free unstable algebras, The dual
Steenrod algebra, The Frobenius, Finiteness conditions, Injectivity of tensor
products, Lannes Tfunctor, The Tfunctor and unstable algebras, Free Einfinity
algebras, A pushout square, The EilenbergMoore spectral sequence, Operations on
Einfinity algebras, The Sullivan conjecture.
