Abstract
Several attempts to transfer methods of the classical descriptive set theory to study measurability in nonseparable metrizable or more general topological spaces are presented. In particular, the theories of K-analytic spaces and of absolute Souslin metrizable spaces give quite interesting results. The spaces which are results of the Souslin operation applied to the families of Borel sets (Cech-analytic spaces) or of resolvable sets in every Tychonoff space allow further generalizations. Many nonseparable Banach spaces with their weak topology may serve as examples of such spaces. We recall a number of results and we point out open questions which seem to make the extension of the classical descriptive set theory and its applications to functional analysis not yet sufficiently complete.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
