Abstract
This chapter discusses weak convergence in normal spaces. It focuses on weak convergence of sequences of measures on normal spaces, weak convergence of sequences of induced measures and transformed measures, and weak limits of sequences of σ-smooth measures on completely normal A-spaces. It also discusses reduction of weak limit problems by transformations and explains the reduction procedure for metric spaces. If the sequence {μn} of measures on the normal A-space S converges weakly to the regular measure μ on S, and if F0 is a closed continuity set for μ on S, then the sequence {μn} of induced measures on F0 converges weakly to the induced measure μ on F0.
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 callDisclaimer: 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.
