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Topsøe, Flemming.

Topology and Measure [electronic resource] / by Flemming Topsøe. - XVI, 84 p. online resource. - Lecture Notes in Mathematics, 133 0075-8434 ; . - Lecture Notes in Mathematics, 133 .

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.

ISBN: 9783540362845

Standard No.: 10.1007/BFb0069481 doi

Subjects--Topical Terms:
Mathematics.
Mathematics, general.

LC Class. No.: QA1-939

Dewey Class. No.: 510