All open problems
Source labels openChecked July 26, 2026
Conjectures around homogeneous topological spaces
Problem 15 in [Ar2013]: Is every homogeneous ω-monolithic compact hausdorff space first countable?
Mathematical statement
Problem 15 in [Ar2013]: Is every homogeneous ω-monolithic compact hausdorff space first countable?
Statement source: Papers statement material
Statement terms: Source-specific
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Statement artifacts, not proofs
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Pinned Lean formulation 1
firstCountableTopology_of_countablyMonolithicSpace
Complete statement target, proof intentionally absentLean 4
theorem firstCountableTopology_of_countablyMonolithicSpace : answer(sorry) ↔ ∀ (X : Type) (_ : TopologicalSpace X), T2Space X → CompactSpace X → HomogeneousSpace X → CountablyMonolithicSpace X → FirstCountableTopology X := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References