Compacts de fonctions mesurables et filtres non mesurables
From MaRDI portal
Publication:3874740
DOI10.4064/sm-67-1-13-43zbMath0435.46023OpenAlexW872818295MaRDI QIDQ3874740
Publication date: 1980
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/218303
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Baire category, Baire spaces (54E52)
Related Items
A mathematical proof of S. Shelah's theorem on the measure problem and related results ⋮ Espaces $K_\sigma$ et espaces des applications continues ⋮ Intersection numbers of families of ideals ⋮ Covering properties of ideals ⋮ Rigidity conjectures for continuous quotients ⋮ Coanalytic ultrafilter bases ⋮ Non-meagre subgroups of reals disjoint with meagre sets ⋮ The Katowice problem and autohomeomorphisms of \(\omega_0^\ast\) ⋮ Products of Menger spaces: A combinatorial approach ⋮ $G_\delta $ and co-meager semifilters ⋮ Combinatorics and forcing with distributive ideals ⋮ FROM A1 TO D5: TOWARDS A FORCING-RELATED CLASSIFICATION OF RELATIONAL STRUCTURES ⋮ Tukey types of ultrafilters ⋮ Infinite combinatorics and definability ⋮ On ideal equal convergence. II ⋮ HAPPY AND MAD FAMILIES INL(ℝ) ⋮ The Baire category of ideal convergent subseries and rearrangements ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Another characterization of meager ideals ⋮ The ideal test for the divergence of a series ⋮ Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$ ⋮ Most numbers are not normal ⋮ Exactly two and exactly three near-coherence classes ⋮ P-like properties of meager ideals and cardinal invariants ⋮ Qualitative properties of ideal convergent subsequences and rearrangements ⋮ Strong-Q-sequences and small \(\mathfrak d\) ⋮ The Baire category of subsequences and permutations which preserve limit points ⋮ Groupwise density and related cardinals ⋮ P-filters and Cohen, random, and Laver forcing ⋮ Sets of ideal convergence of sequences of quasi-continuous functions ⋮ A hierarchy of tree-automatic structures ⋮ On certain generalized versions of groupability ⋮ Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property ⋮ On Katětov and Katětov-Blass orders on analytic P-ideals and Borel ideals ⋮ Forcing axioms and coronas of C∗-algebras ⋮ Reductions between meager ideals ⋮ Unnamed Item ⋮ Continuous projections onto ideal convergent sequences ⋮ Ideal version of Egorov's theorem for analytic P-ideals ⋮ Answer to a question of Rosłanowski and Shelah ⋮ Zapping Small Filters ⋮ The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem ⋮ Specker’s theorem for Nöbeling’s group ⋮ Two properties of \(C_{p}(x)\) weaker than the Fréchet Urysohn property ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order ⋮ TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES ⋮ A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means ⋮ The near coherence of filters principle does not imply the filter dichotomy principle ⋮ Sub-posets in \(\omega^\omega\) and the strong Pytkeev\(^*\) property ⋮ Spaces not distinguishing ideal convergences of real-valued functions. II ⋮ Densities for sets of natural numbers vanishing on a given family ⋮ Oscillations of sets of integers ⋮ Luzin gaps ⋮ Perfect-set properties in \(L(\mathbb{R})[U\)] ⋮ Ideal convergent subseries in Banach spaces ⋮ Sur les mesures vectorielles définies par une application Pettis-intégrable ⋮ Forcing with filters and complete combinatorics ⋮ Conglomerated filters and statistical measures ⋮ Small-large subgroups of locally compact abelian Polish groups ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Rigidity properties of Borel ideals on the integers ⋮ Remarks on the intersection of filters ⋮ Special issue on \(C_p(X)\)-theory ⋮ Analytic ideals and their applications ⋮ Tauberian theorems for ordinary convergence ⋮ Rosenthal families, filters, and semifilters ⋮ Non-meager free sets and independent families ⋮ Coincidence of the upper Kuratowski topology with the co-compact topology on compact sets, and the Prohorov property