In canonical quantum gravity certain topological properties of 3-manif
olds are of interest. This article gives an account of those propertie
s which have so far received sufficient attention, especially those co
ncerning the diffeomorphism groups of 3-manifolds. We give a summary o
f these properties and list some old and new results concerning them.
The appendix contains a discussion of the group of large diffeomorphis
ms of the 1-handle 3-manifold.