A superpoint is a supermanifold of the form .
The object is also called the odd line.
The category of superpoints
We have an equivalence of categories
Regard as a site with trivial coverage. Much of superalgebra and supergeometry can be usefully understood as taking place over the base topos – the sheaf topos over superpoints – or rather the (∞,1)-sheaf (∞,1)-topos
of super ∞-groupoids. See there for more details.
A super translation Lie algebra and hence super Minkowski spacetime, is a Lie algebra extension of a superpoint, with the latter regarded as an abelian super Lie algebra. See at super translation Lie algebra for more on this.