Abstract
We have shown recently that, given a metric space X, the coarse equivalence classes of metrics on the two copies of X form an inverse semigroup M(X). Here we give a description of the set E(M(X)) of idempotents of this inverse semigroup and of its Stone dual space Xˆ. We also construct σ-additive measures on Xˆ from finitely additive probability measures on X that vanish on bounded subsets.
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.
