Sticks and clubs

DOI10.1016/S0168-0072(97)00030-4zbMath0890.03023arXivmath/9804153MaRDI QIDQ1377602

Saharon Shelah, Lajos Soukup, Sakaé Fuchino

Publication date: 26 January 1998

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804153

zbMATH Keywords

consistencycardinal invariantsinaccessible cardinalpreservation theoremcombinatorial principlesclub principlestick principleside-by-side product of partial orderingsweak Martin's axiom

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (19)

2000 Annual Meeting of the Association for Symbolic Logic ⋮ Cardinal invariants of the continuum and combinatorics on uncountable cardinals ⋮ Finding generic filters by playing games ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ The one-point Lindelöfication of an uncountable discrete space can be surlindelöf ⋮ Variations of the stick principle ⋮ The density zero ideal and the splitting number ⋮ Tiltan and superclub ⋮ A counterexample in the theory of \(D\)-spaces ⋮ \(\clubsuit\) does not imply the existence of a Suslin tree ⋮ Properties of ideals on the generalized Cantor spaces ⋮ Regular variation without limits ⋮ Towers and clubs ⋮ The club principle and the distributivity number ⋮ Cardinal characteristics of the continuum and partitions ⋮ On $(1,\omega _{1})$-weakly universal functions ⋮ Infinite combinatorics and the foundations of regular variation ⋮ Large strongly anti-Urysohn spaces exist ⋮ Partitions of topological spaces and a new club-like principle

Cites Work

• Unnamed Item
• Unnamed Item
• Set systems with finite chromatic number
• Set theory. An introduction to independence proofs
• Whitehead groups may not be free even assuming CH. II
• More on cardinal arithmetic
• PCF and infinite free subsets in an algebra
• Further cardinal arithmetic
• Independent Families in Complete Boolean Algebras
• Between Martin's Axiom and Souslin's Hypothesis
• On Countably Compact, Perfectly Normal Spaces
• Topologies Determined by -Ideals on ω₁
• Advances in Cardinal Arithmetic
• Proper and Improper Forcing
• α-Properness and Axiom A

This page was built for publication: Sticks and clubs