Topics are contextual groupings of like items. Multiple topics can be
associated with single items, and so far from my use of the feature it
appears to be a way to group content together that does not live
together. For instance, you might have 5 different areas on your site
that each have a policies document that pertains to that area. By
creating a topic of Policies you can group all 5 policy documents
together.
I didn't use SPS v1, so I am unsure how the categories feature worked,
but it does sound like the Topics feature in SPS v2.