A resector balloon includes an outer wall having a resecting surface that resects biological material. The balloon also includes a woven sleeve including at least one woven thread disposed on at least a portion of the outer wall. The woven sleeve forms at least a portion of the resecting surface. In certain embodiments, the woven sleeve includes weft knit threads including crossover points where the threads overlap. In some embodiments, the woven sleeve includes electrically conductive threads.
