In a paper presented a few years ago, De Lorenci et al. showed, in the cont
ext of canonical quantum cosmology, a model which allowed space topology ch
anges. The purpose of this present work is to go a step further in that mod
el, by performing some calculations only estimated there for several compac
t manifolds of constant negative curvature, such as the Weeks and Thurston
spaces and the icosahedral hyperbolic space (Best space).