André-Quillen cohomology and the homotopy groups of mapping spaces: Understanding the \(E_ 2\)-term of the Bousfield-Kan spectral sequence
The author studies the homotopy groups of the space of continuous functions between two topological spaces X and Y, considering the algebra derivations between their cohomology algebra. In this way he applies the commutative algebra cohomology of André-Quillen to understand the \(E_ 2\)-term of the Bousfield-Kan spectral sequence and to explore computational tools for approaching it.
scientific article; zbMATH DE number 4155452
scientific article