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mathoverflow_260589

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There exists a connected bijection ℝ → ℝ^2 where the inverse is not connected, proven in [mathoverflow/260589](https://mathoverflow.net/questions/260589) by user [Gro-Tsen](https://mathoverflow.net/users/17064/gro-tsen).

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Lean 4 Statement 
theorem mathoverflow_260589 :
    ∃ f : ℝ ≃ ℝ^2, IsConnectedMap f ∧ ¬ IsConnectedMap f.symm
ID: Mathoverflow__235893__mathoverflow_260589
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