Product of 2-sphere and 2-torus

Definition
This topological space is defined as the Cartesian product, equipped with the product topology, of the defining ingredient::2-sphere $$S^2$$ and the defining ingredient::2-torus $$T^2$$ (which itself is the product of two copies of the circle $$S^1$$). It is denoted $$S^2 \times T^2$$ or $$T^2 \times S^2$$ or $$S^2 \times S^1 \times S^1$$ or $$S^1 \times S^1 \times S^2$$.