Some functional inequalities and their Baire category properties
✍ Scribed by Bolesław Gaweł
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 601 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0001-9054
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📜 SIMILAR VOLUMES
## Abstract We show that the statement (K12) “separable, countably compact, regular spaces are Baire” is deducible from a strictly weaker form than AC, namely, CAC(ℝ) (the axiom of choice for countable families of non‐empty subsets of the real line ℝ). We also find some characterizations of the axi
## Abstract A notion of resource‐bounded Baire category is developed for the class __P__~__C__[0,1]~ of all polynomial‐time computable real‐valued functions on the unit interval. The meager subsets of __P__~__C__[0,1]~ are characterized in terms of resource‐bounded Banach‐Mazur games. This characte