1. Let D = {(x, y) = R²|x² + y² ≤ 1} be the unit closed disc in R² and E := {(x, y) ≤ D\y = mx for some m € Q} (a) Are En S¹ and [0, 1] nQ homeomorphic? (b) Are E and D - E homeomorphic? (c) Are R² - E and R² – (D – E) homeomorphic?

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