Sadok Kallel

For any positive integer n and any space X, Sub{n}(X) denotes the space of all finite subsets of X of cardinality at most n. This is almost like a configuration space but not quite. It appears in various contexts in algebraic and differential...

Given a reasonable filtration of spaces F_0, F_1,..., F_n, and a homology theory H, we define what it means to split the filtration with respect to H and then give a criterion for when this is possible. We strongly refine this criterion to decide...