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countablyMonolithicSpace_card_lt

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Problem 16 in [Ar2013]: Is the cardinality of every homogeneous ω-monolithic compact space not greater than 𝔠?

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Lean 4 Statement 
theorem countablyMonolithicSpace_card_lt :
    answer(sorry) ↔ ∀ (X : Type) (_ : TopologicalSpace X), CompactSpace X → HomogeneousSpace X →
      CountablyMonolithicSpace X → #X ≤ 𝔠
ID: Paper__Homogenous__countablyMonolithicSpace_card_lt
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