Outer measure, Borel sets and Lebesgue measure in the plane.
In this paper, the essential properties of general Lebesgue outer measure are discussed. The complete measure space, consisting of the general Lebesgue outer measure restricted to the measurable sets, is developed and this measure is shown to be unique. Two characterizations of measurable sets are d...
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| Language: | en_US |
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Monterey, California. Naval Postgraduate School
2012
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| Online Access: | http://hdl.handle.net/10945/15122 |