  An arrangement of pseudocircles is a finite set of oriented closed Jordan
curves each two of which cross each other in exactly two points. To describe
the combinatorial structure of arrangements on closed orientable surfaces, in
(Linhart, Ortner 2004) so-called *intersection schemes* were introduced.
Building up on results about the latter, we first clarify the notion of
embedding of an arrangement. Once this is done it is shown how the
embeddability of an arrangement depends on the embeddability of its
subarrangements. The main result presented is that an arrangement of
pseudocircles can be embedded into the sphere if and only if all of its
subarrangements of four pseudocircles are embeddable into the sphere as well.
