Statement:

There is an uncountable subset of \({\Bbb R}\) without a perfect subset.

Howard_Rubin_Number: 169

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:
Banaschewski-Moore-1990: The dual Cantor-Bernstein theorem and the partition principle
Bernstein-1908: Zur Theorie der trigonometrischen Reihe

Book references

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: 93,

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