Topology and Measure [electronic resource] / by Flemming Topsøe.
Material type: TextSeries: Lecture Notes in Mathematics ; 133Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1970Description: XVI, 84 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540362845Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK271 |
Measure and integral, definitions -- Basic result on construction of a measure -- Basic result on construction of an integral -- Finitely additive theory -- From “Baire” measures to “Borel” measures, an abstract approach -- Construction of measures by approximation from outside and by approximation from inside -- On the possibility of providing a space of measures with a vague topology -- Definition and basic properties of the weak topology -- Compactness in the weak topology -- Criteria for weak convergence -- On the structure of M +(X) -- A problem related to questions of uniformity -- First solution of the ?-problem -- Second solution of the ?-problem -- Uniformity classes -- Joint continuity -- Preservation of weak convergence.
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