The Infinite-Dimensional Topology of Function Spaces

In this book we study function spaces of low Borel complexity.Techniques from general topology, infinitedimensional topology, functional analysis and descriptive set theoryare primarily used for the study of these spaces. The mix ofmethods from several disciplines makes the subject particularly interesting. Among other things, a complete and selfcontained proof of the DobrowolskiMarciszewskiMogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented.