  Ooguri, Vafa, and Verlinde have outlined an approach to two-dimensional
accelerating string cosmology which is based on topological string theory, the
ultimate objective being to develop a string-theoretic understanding of
"creating the Universe from nothing". The key technical idea here is to assign
*two different* Lorentzian spacetimes to a certain Euclidean space. Here we
give a simple framework which allows this to be done in a systematic way. This
framework allows us to extend the construction to higher dimensions. We find
then that the general shape of the spatial sections of the newly created
Universe is constrained by the OVV formalism: the sections have to be flat and
compact.
