Statement:

The union of countably many meager subsets of \({\Bbb R}\) is meager. (Meager sets are the same as sets of the first category.) Jech [1973b] p 7 prob 1.7.

Howard_Rubin_Number: 35

Parameter(s): This form does not depend on parameters

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Levy-Feferman-1963: Independence results in set theory by Cohen's method II

Book references
The Axiom of Choice, Jech, T., 1973b

Note connections:
Note 28 Definitions for the various versions of the Baire category theorem

The following forms are listed as conclusions of this form class in rfb1: 210, 324, 304, 18, 35, 38, 46-K, 96, 98, 103, 124, 127, 154, 158, 243, 190, 173, 236, 198, 217, 235, 237, 240, 241, 249, 285, 293, 291, 330, 350, 358, 357, 382, 244, 119, 238, 294, 314, 183-alpha, 59-le, 136-k, 220-p, 288-n, 342-n, 308-p, 373-n,

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