منابع مشابه
Invariants of Measure and Category
The purpose of this chapter is to discuss various results concerning the relationship between measure and category. We are mostly interested in set-theoretic properties of these ideals, particularly, their cardinal characteristics. This is a very large area, and it was necessary to make some choices. We decided to present several new results and new approaches to old problems. In most cases we ...
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Measure and category (or rather, their recursion theoretical counterparts) have been used in Theoretical Computer Science to make precise the intuitive notion \for most of the recursive sets." We use the notions of eeective measure and category to discuss the relative sizes of inferrible sets, and their complements. We nd that inferrible sets become large rather quickly in the standard hierarch...
متن کاملMeasure, category and projective wellorders
Every admissible assignment of א1 -א2 to the cardinal invariants in the Cichón diagram can be realized in a generic extension of a model of CH obtained as the countable support iteration of proper forcing notions (see [2, Chapter 7]). With every invariant in the Cichon diagram, one can associate a forcing notion which increases its value without affecting the values of the other invariants. Thu...
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We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the density toplologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on in nitary combinatorics due to Kestelman and to Borwein and Ditor. As a by-product we give a uni ed proof of the measure and category cases of Unif...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1988
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-20-1-411-418