Statement:

\(MC_\omega(\aleph_0,\infty)\): For every denumerable family \(X\) of pairwise disjoint non-empty sets, there is a function \(f\) such that for each \(x\in X\), f(x) is a non-empty countable subset of \(x\).

Howard_Rubin_Number: 131

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

This form's transferability is: Unknown

This form's negation transferability is: Negation Transferable

Article Citations:
Howard-Rubin-Keremedis-Rubin-1998b: Disjoint unions of topological spaces and choice

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1:

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