The fuzzy supersphere

We introduce the fuzzy supersphere as sequence of finite-dimensional, nonco mmutative Z(2)-graded algebras tending in a suitable limit to a dense subal gebra of the Z(2)-graded algebra of H-infinity-functions on the (2/2)-dimen sional supersphere. Noncommutative analogues of the body map (to the (fuzzy ) sphere) and the super-deRham complex are introduced. In particular we rep roduce the equality of the super-deRham cohomology of the supersphere and t he ordinary deRham cohomology of its body on the "fuzzy level". (C) 1998 El sevier Science B.V.