  The definition of 'classical state', and how it was used in earlier work to
prove a decomposition theorem internally in the language of State Property
Systems, presupposes as an additional datum an orthocomplementation on the
property lattice of a physical system. In this paper we argue on the basis of
the epsilon-model on the Poincare sphere that a notion of 'topologicity' for
states can be seen as an alternative (operationally foundable) classicality
notion in the absence of an orthocomplementation, and compare it to the known
and operationally founded concept of classicality.
