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Let $ \text{Cont}(\mathbb{R},\mathbb{R})$ denote the set of contiuous self-maps of $ \mathbb{R}$ and let $ \mathbb{R}^\mathbb{R}$ denote the set of all self-maps of $ \mathbb{R}$ , endowed with the product topology. Is $ \text{Cont}(\mathbb{R},\mathbb{R})$ dense in $ \mathbb{R}^\mathbb{R}$ ?Read more