Abstract
Motivated by the construction of the algebra of Jordan measurable sets from the algebra of measurable sets in Euclidean spaces, we determine a natural class of structures (X,S,A,I), where (X,S) is a topological space, A is an algebra of subsets of X, and I is an ideal of A, so that the derived structure (X,S,∂A,∂I) given by ∂A:={E∈A:∂E∈I} and ∂I:=∂A∩I belongs to the same class. We provide a characterization of the derived structures whose ideal contains no nonempty open sets and derive from it that each such structure has a natural strong density and (assuming completeness) a strong lifting.
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.
