Measurable functions and Lebesgue integration

Brooks, Hannalie Helena

dc.contributor.advisor	Salbany, Sergio
dc.contributor.author	Brooks, Hannalie Helena	en
dc.date.accessioned	2015-01-23T04:24:14Z
dc.date.available	2015-01-23T04:24:14Z
dc.date.issued	2002-11	en
dc.identifier.citation	Brooks, Hannalie Helena (2002) Measurable functions and Lebesgue integration, University of South Africa, Pretoria, <http://hdl.handle.net/10500/16035>	en
dc.identifier.uri	http://hdl.handle.net/10500/16035
dc.description.abstract	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.
dc.format.extent	1 online resource (x, 63 leaves)	en
dc.language.iso	en
dc.subject	Lebesgue integral
dc.subject	Measurable set
dc.subject	Outer measure
dc.subject	Inner measure
dc.subject	Generalised Lebesgue Integral
dc.subject	Inner integrals
dc.subject	Outer integrals
dc.subject	Integrability
dc.subject	Limit theorems
dc.subject	Role of measurability
dc.subject.ddc	515.43	en
dc.subject.lcsh	Lebesgue integral	en
dc.subject.lcsh	Measure theory	en
dc.subject.lcsh	Limit theorems (Probability theory)	en
dc.title	Measurable functions and Lebesgue integration	en
dc.type	Dissertation
dc.description.department	Mathematical Sciences
dc.description.degree	M. Sc. (Mathematics)	en