Hypothesis: HR 8:

\(C(\aleph_{0},\infty)\):

Conclusion: HR 173:

\(MPL\): Metric spaces are para-Lindelöf.

List of models where hypothesis is true and the conclusion is false:

Name Statement
\(\cal N57\) The set of atoms \(A=\cup\{A_{n}:n\in\aleph_{1}\}\), where\(A_{n}=\{a_{nx}:x\in B(0,1)\}\) and \(B(0,1)\) is the set of points on theunit circle centered at 0 The group of permutations \(\cal{G}\) is thegroup of all permutations on \(A\) which rotate the \(A_{n}\)'s by an angle\(\theta_{n}\in\Bbb{R}\) and supports are countable

Code: 3

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