The groups \((\mathbb{R},+)\) and \((\mathbb{C},+)\) are topological groups . Using the sequence characterization of continuous functions we can derive that summation and changing sign are continuous functions .
The groups \((\mathbb{R},+)\) and \((\mathbb{C},+)\) are topological groups . Using the sequence characterization of continuous functions we can derive that summation and changing sign are continuous functions .