scientific article; zbMATH DE number 1137961

zbMath0887.03037MaRDI QIDQ4383372

Ilijas Farah

Publication date: 1 April 1998

Full work available at URL: https://eudml.org/doc/119363

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

forcingMartin's axiomopen coloring axiomtowersSuslin treesdense sets of reals

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Total orders (06A05) Other combinatorial set theory (03E05)

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PFA(S) and automorphisms of \(\mathcal{P}(\mathbb{N}) / \mathrm{fin}\) ⋮ Weak partition properties on trees ⋮ \(\mathrm{PFA}(S)[S\) and locally compact normal spaces] ⋮ The grounded Martin's axiom ⋮ PFA(S) and countable tightness ⋮ Uniformizing ladder system colorings and the rectangle refining property ⋮ Katetov’s problem ⋮ Distributivity of the algebra of regular open subsets of \(\beta\mathbb R\setminus \mathbb R\) ⋮ TOWERS IN FILTERS, CARDINAL INVARIANTS, AND LUZIN TYPE FAMILIES ⋮ Maximal almost disjoint families and pseudocompactness of hyperspaces ⋮ Hereditarily normal manifolds of dimension greater than one may all be metrizable

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