TOPOLOGY SEMINAR

Speaker:  Arkady Leiderman, Ben-Gurion University, Israel

Title:  Basic families of functions and embeddings of free locally convex  spaces

Abstract: Let X be a completely regular topological space.

The free locally convex space on X is a locally convex space L(X) for which X forms a Hamel basis and such that every continuous mapping from X to a locally convex space E extends uniquely to a  continuous linear operator from  L(X) to E.

In our talk we survey the results which are related to the following problem:

Characterize all topological spaces X such that L(X) can be embedded into L[0,1] as a closed linear subspace, where [0,1] is a usual unit segment.