Implications

We have the following indirect implication of form equivalence classes:

35 \(\Rightarrow\) 35
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
35 \(\Rightarrow\) 35 Independence results in set theory by Cohen's method II, Levy, A. 1963, Notices Amer. Math. Soc.

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
35:

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.

35:

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.

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