Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
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Publication:3884102
DOI10.4064/fm-103-1-47-60zbMath0442.03034OpenAlexW1514554802WikidataQ114573941 ScholiaQ114573941MaRDI QIDQ3884102
Publication date: 1979
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/211043
Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Continuum hypothesis and Martin's axiom (03E50) Other aspects of forcing and Boolean-valued models (03E40)
Related Items (26)
Some applications of a generalized Martin's axiom ⋮ Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals ⋮ Effect of a random real on \(\kappa\to \left(\kappa,{\alpha \choose \omega_ 1}\right)^ 2\) ⋮ Combinatorial properties of classical forcing notions ⋮ Spaces of continuous functions in elementary generic extensions ⋮ Random reals and the relation \(\omega_ 1\to (\omega_ 1,(\alpha:n))^ 2\) ⋮ Nonpreservation of properties of topological groups on taking their square ⋮ Weak partition properties on trees ⋮ Some Banach spaces added by a Cohen real ⋮ Unnamed Item ⋮ The relative strengths of fragments of Martin's axiom ⋮ The grounded Martin's axiom ⋮ Adding a Cohen real adds an entangled linear order ⋮ Cartesian products of Fréchet topological groups and function spaces ⋮ Hausdorff gaps and towers in P(ω)/ Fin ⋮ Unnamed Item ⋮ Katetov’s problem ⋮ The Fréchet-Urysohn compactum without points of countable character ⋮ MA(\(\sigma\)-centered): Cohen reals, strong measure zero sets and strongly meager sets ⋮ Random Reals and Souslin Trees ⋮ Unnamed Item ⋮ Weak measure extension axioms ⋮ STRONG COLORINGS OVER PARTITIONS ⋮ First-countable Lindelöf scattered spaces ⋮ Summable gaps ⋮ Forcing consequences of $PFA$ together with the continuum large
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