Are the following homeomorphic? (a) A closed interval and an open interval for the real numbers (mathbb{R})

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Are the following homeomorphic?

(a) A closed interval and an open interval for the real numbers \(\mathbb{R}\) ?

(b) A parabola and a hyperbola?

(c) A circle \(S^{1}\) and \(\mathbb{R}\) ?

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