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Measurable functions and Lebesgue integrationBrooks, Hannalie Helena 30 November 2002 (has links)
In this thesis we shall examine the role of measurability in the theory of Lebesgue Integration. This shall be done in the context of
the real line where we define the notion of an integral of a bouuded
real-valued function over a set of bounded outer measure without
a prior assumption of measurability concerning the function and
the domain of integration
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Measurable functions and Lebesgue integrationBrooks, Hannalie Helena 11 1900 (has links)
In this thesis we shall examine the role of measurerability in the theory
of Lebesgue Integration. This shall be done in the context of
the real line where we define the notion of an integral of a bounded
real-valued function over a set of bounded outer measure without a prior assumption of measurability concerning the function and the domain of integration. / Mathematical Sciences / M. Sc. (Mathematics)
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Measurable functions and Lebesgue integrationBrooks, Hannalie Helena 11 1900 (has links)
In this thesis we shall examine the role of measurerability in the theory
of Lebesgue Integration. This shall be done in the context of
the real line where we define the notion of an integral of a bounded
real-valued function over a set of bounded outer measure without a prior assumption of measurability concerning the function and the domain of integration. / Mathematical Sciences / M. Sc. (Mathematics)
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