Abstract
ABSTRACTWe show that the image of a s̀‐relatively discrete cover of a space under a perfect map has a s̀‐relatively discrete refinement. From this we deduce that spaces with a s̀‐relatively discrete network and, in particular, s̀‐relatively discrete sets, are invariant under perfect maps. Another corollary is that weakly s̀‐refinable spaces are preserved by perfect maps, a result previously shown by the first author.
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.
