I am looking for an example of using ASP.net AJAX to show a 'live' filtering of a repeater control based on what is being typed into a textbox. I have seen stuff using the Web Client Software Factory but am more interested in something that doesn't require an additional library.
The asp.net ajax control toolkit has one here.
If you don't like that one, searching google for "Ajax Autocomplete" gives lots of decent looking results, unless I am mistaking what it is you want to do.
I think you're a little confused as to what AJAX entails. If you want the filtering to interface with the server control's datasource, then it would not by definition be AJAX.
Live filtering a databound control the way you want is ill-advised, I think. For each iteration you'd have to re-bind the control, which would create a tremendous amount of overhead.
You'll need to find a way to do this client-side, with javascript. It could simply hide items within the repeater-created markup as they are filtered out, although how exactly this would be accomplished depends entirely on what html you're generating with the repeater.