Name of town in Ukraine formerly in Poland, not sure how spelt but possibly Kolymio?

Can't find a town of this name but if you go to a href="http://travel.kyiv.org/map/" rel="nofollow"http://travel.kyiv.org/map//a you can click on the counties nearest Polland i.e. Luts'k and see if any of the town names stand out to you.