Correct answer: (D) S and T connected, U disconnected
Explanation
The double cone S is path connected through its vertex. T can be parametrized as (√(1+t²)ω,t), ω∈S²,t∈ℝ, a connected product. U has x₄=±√(1+x₁²+x₂²+x₃²), separating positive and negative sheets. **D**.
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