Hypothesis: HR 163:
Every non-well-orderable set has an infinite, Dedekind finite subset.
Conclusion: HR 156:
Theorem of Gelfand and Kolmogoroff: Two compact \(T_2\) spaces are homeomorphic if their rings of real valued continuous functions are isomorphic.
List of models where hypothesis is true and the conclusion is false:
Name | Statement |
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Code: 3
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