What is the first homotopy group of a two-dimensional torus (T^{2}) ? For the 2-torus, (T^{2}=S^{1} times

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What is the first homotopy group of a two-dimensional torus \(T^{2}\) ? For the 2-torus, \(T^{2}=S^{1} \times S^{1} .

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