Hypothesis: HR 113:
Tychonoff's Compactness Theorem for Countably Many Spaces: The product of a countable set of compact spaces is compact.
Conclusion: HR 106:
Baire Category Theorem for Compact Hausdorff Spaces: Every compact Hausdorff space is Baire.
List of models where hypothesis is true and the conclusion is false:
| Name | Statement |
|---|---|
| \(\cal N38\) Howard/Rubin Model I | Let \((A,\le)\) be an ordered set of atomswhich is order isomorphic to \({\Bbb Q}^\omega\), the set of all functionsfrom \(\omega\) into \(\Bbb Q\) ordered by the lexicographic ordering |
Code: 5
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