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Titlebook: Applications of Point Set Theory in Real Analysis; A. B. Kharazishvili Book 1998 Springer Science+Business Media Dordrecht 1998 measure th

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Book 1998eristics) closely connected with those classes are investigated. Obviously, the IT-ideal of all Lebesgue measure zero subsets of the real line and the IT-ideal of all first category subsets of the same line are extensively studied in [19], and several relatively new results concerning this topic are
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The principle of condensation of singularities, he meets some objects of this type during his investigations. In connection with singular objects, the classical mathematical analysis must be noticed especially. It is sufficient to recall here the well-known examples of nowhere differentiable real-valued functions; examples of Lebesgue measurable
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The uniqueness of Lebesgue and Borel measures,e on a finite-dimensional Euclidean space (sphere) . and for the standard Borel measure on the same space (sphere), being the restriction of the Lebesgue measure to the Borel σ-algebra of .. Our main tool here is the measure extension theorem due to Ershov (see Section 9 of the book). In particular,
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