Abstract
We prove a selection theorem which characterizes C-spaces among paracompact spaces and give two applications: 1. (1) if f: X → Y is a map between compact spaces with k-dimensional fibres and Y has property C, then f can be approximated by maps with fibres contained in k-dimensional polyhedra; 2. (2) if f: X → Y is an open map with infinite fibres between compact metric spaces, then the map P( f): P( X) → P( Y) between the spaces of probability measures is a trivial Q-bundle, provided that Y has property C.
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.
