Abstract
An entity called “outer measure” defined on all subsets of a set but fulfilling only some of the desiderata of Remark 1.1.6. Extraction of a measure from it via the “Caratheodory condition”. Lebesgue outer measure and Lebesgue measure on the real line. Lebesgue integrability of every Riemann integrable function. A set having no Lebesgue measure (“nonmeasurable” set of real numbers). Induced measure and integral on a subset. Lebesgue integral over [0, \( {\mathbb{R}} \)) and improper integral of Riemann type.
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.
