Hypothesis: HR 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.
Conclusion: HR 190:
There is a non-trivial injective Abelian group.
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal N28\) Blass' Permutation Model | The set \(A=\{a^i_{\xi}: i\in \Bbb Z, \xi\in\aleph_1\}\) |
Code: 5
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