What would you call the product of an annulus and $S^1$ (a 'thickened' torus like 3-manifold)?


More generally, is there an archive or list online of names assigned to various (non-standard) manifolds by people? Or a set convention by which to name them?



What do you call the product of a circle and an annulus?
I would call it a thickened torus. I don't know how standard that is, but it is quite normal to speak of thickened manifolds, where one means that manifold times a closed interval.  

I have long felt that there should be a mathematical dictionary- not an encyclopaedia, by a dictionary- in order to fix and record standard usage.


