Cardinal Arithmetic
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Publication:3053901
DOI10.1007/978-1-4020-5764-9_15zbMath1198.03053OpenAlexW4248576990MaRDI QIDQ3053901
Publication date: 5 November 2010
Published in: Handbook of Set Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4020-5764-9_15
Related Items (52)
Prikry-type forcing and the set of possible cofinalities ⋮ Canonical structure in the universe of set theory. I ⋮ Forcing axioms and the Galvin number ⋮ Cardinal characteristics at \(\aleph_\omega\) ⋮ Applications of pcf for mild large cardinals to elementary embeddings ⋮ APPLICATIONS OF PCF THEORY TO THE STUDY OF IDEALS ON ⋮ Exercices de style: a homotopy theory for set theory ⋮ Scales at \({\aleph_{\omega} }\) ⋮ MENAS’S CONJECTURE REVISITED ⋮ On strong chains of sets and functions ⋮ RESTRICTED MAD FAMILIES ⋮ New combinatorial principle on singular cardinals and normal ideals ⋮ THE PSEUDOPOWER DICHOTOMY ⋮ On the order dimension of locally countable partial orderings ⋮ Negating the Galvin property ⋮ An almost strong relation ⋮ The ultrafilter number for singular cardinals ⋮ An extension of Shelah's trichotomy theorem ⋮ Preservation theorems for Namba forcing ⋮ Noetherian type in topological products ⋮ Splitting stationary sets in ⋮ Weak saturation of ideals on P κ (λ) ⋮ Good and bad points in scales ⋮ Remarks on generalized ultrafilter, dominating and reaping numbers ⋮ On a question of Pereira ⋮ Pinning down versus density ⋮ The Magidor function and diamond ⋮ Superstability from categoricity in abstract elementary classes ⋮ Some consequences of reflection on the approachability ideal ⋮ Non-reflection of the bad set for \(\check{I}_\theta[\lambda\) and pcf] ⋮ ARONSZAJN TREES AND FAILURE OF THE SINGULAR CARDINAL HYPOTHESIS ⋮ Constructing \(aD\), non-\(D\)-spaces ⋮ On the verge of inconsistency: Magidor cardinals and Magidor filters ⋮ Reflecting pictures in cardinal arithmetic ⋮ Elementary submodels in infinite combinatorics ⋮ On the spectrum of characters of ultrafilters ⋮ Pseudo-Prikry sequences ⋮ Double weakness ⋮ Dense non-reflection for stationary collections of countable sets ⋮ Verbal covering properties of topological spaces ⋮ The ultrafilter and almost disjointness numbers ⋮ Global Chang's conjecture and singular cardinals ⋮ The character of topological groups, via bounded systems, Pontryagin-van Kampen duality and pcf theory ⋮ The tree property at first and double successors of singular cardinals with an arbitrary gap ⋮ Tameness, powerful images, and large cardinals ⋮ Polarized relations at singulars over successors ⋮ Inclusion modulo nonstationary ⋮ Ideals on \({P_{\kappa}(\lambda)}\) associated with games of uncountable length ⋮ On the consistency of local and global versions of Chang’s Conjecture ⋮ MORE ZFC INEQUALITIES BETWEEN CARDINAL INVARIANTS ⋮ A note on the revised GCH ⋮ Representability and compactness for pseudopowers
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