Ouriel Bloede

We could summarize the aim of algebraic topology as, trying to find combinatorical or algebraic obstructions to the existence of certain maps between topological spaces. As an example we will describe piece by piece, the different algebraic structures one can put on singular cohomology (over \(F_2\)), and describe topological results that arise from it, building from the abelian group structure to the one of unstable algebra over the Steenrod algebra.