Search results for "selective separability"

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On density and π-weight of Lp(βN,R, μ)

2012

In Integration Theory, it is important to establish the separability or not of Lebesgue spaces of the type Lp, with 1 ≤ p < +∞. In general, the usual proof of this type of results for certain Lebesgue spaces, is conducted through methods of Real Analysis. In this work, we use some concepts and methods of pure General Topology in proving the non-separability of a particular Lebesgue space. Further, we provide some estimates for density and π-weight of such a space.

Pure mathematicsselective separability Lebesgue spaceselective separabilitylcsh:MathematicsseparabilityMathematical analysis[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]lcsh:QA299.6-433Separabilitylcsh:AnalysisSpace (mathematics)lcsh:QA1-939[MATH.MATH-GN] Mathematics [math]/General Topology [math.GN]Lebesgue spaceStandard probability spaceGeometry and TopologySelective separabilityMathematics
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