nLab
odd line

The odd line is the supermanifold ${ℝ}^{0\mid 1}$ characterized by the fact that its ${\mathbb{Z}}_2$-graded algebra of functions is the algebra free on a single odd generator $\theta$: $C^{\mathrm{\infty }}({ℝ}^{0\mid 1})=ℝ[\theta ]=ℝ\oplus \theta \cdot ℝ$.