Journal of Symbolic Logic 47 (2):275-288 (1982)
Let κ B be the least cardinal for which the Baire category theorem fails for the real line R. Thus κ B is the least κ such that the real line can be covered by κ many nowhere dense sets. It is shown that κ B cannot have countable cofinality. On the other hand it is consistent that the corresponding cardinal for 2 ω 1 be ℵ ω . Similar questions are considered for the ideal of measure zero sets, other ω 1 saturated ideals, and the ideal of zero-dimensional subsets of R ω 1
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
Internal Cohen Extensions.D. A. Martin & R. M. Solovay - 1970 - Annals of Mathematical Logic 2 (2):143-178.
Almost-Disjoint Sets the Dense Set Problem and the Partition Calculus.James E. Baumgartner - 1976 - Annals of Mathematical Logic 9 (4):401-439.
Citations of this work BETA
Cardinal Invariants of the Continuum and Combinatorics on Uncountable Cardinals.Jörg Brendle - 2006 - Annals of Pure and Applied Logic 144 (1):43-72.
Similar books and articles
Characterising Subsets of Ω1 Constructible From a Real.P. D. Welch - 1994 - Journal of Symbolic Logic 59 (4):1420 - 1432.
Blunt and Topless End Extensions of Models of Set Theory.Matt Kaufmann - 1983 - Journal of Symbolic Logic 48 (4):1053-1073.
The Kunen-Miller Chart (Lebesgue Measure, the Baire Property, Laver Reals and Preservation Theorems for Forcing).Haim Judah & Saharon Shelah - 1990 - Journal of Symbolic Logic 55 (3):909-927.
On Consistent Subsets of Large Sets of Satisfiable Sentences.Stephen H. Hechler - 2001 - Studia Logica 69 (3):339-349.
Applications of Vaught Sentences and the Covering Theorem.Victor Harnik & Michael Makkai - 1976 - Journal of Symbolic Logic 41 (1):171-187.
On Splitting Stationary Subsets of Large Cardinals.James E. Baumgartner, Alan D. Taylor & Stanley Wagon - 1977 - Journal of Symbolic Logic 42 (2):203-214.
The Cofinality of Cardinal Invariants Related to Measure and Category.Tomek Bartoszynski, Jaime I. Ihoda & Saharon Shelah - 1989 - Journal of Symbolic Logic 54 (3):719-726.
The Cofinality Spectrum of the Infinite Symmetric Group.Saharon Shelah & Simon Thomas - 1997 - Journal of Symbolic Logic 62 (3):902-916.
On the Role of the Baire Category Theorem and Dependent Choice in the Foundations of Logic.Robert Goldblatt - 1985 - Journal of Symbolic Logic 50 (2):412-422.
Martin's Axioms, Measurability and Equiconsistency Results.Jaime I. Ihoda & Saharon Shelah - 1989 - Journal of Symbolic Logic 54 (1):78-94.
Added to index2009-01-28
Total downloads9 ( #447,496 of 2,143,563 )
Recent downloads (6 months)1 ( #386,855 of 2,143,563 )
How can I increase my downloads?
There are no threads in this forum
Nothing in this forum yet.