Lebesgue is a small lunar crater that is located near the eastern limb. It lies in the southeastern part of the Mare Smythii, to the southeast of the crater Warner. The southeastern rim is attached to a small crater that overlays the northwest rim of Swasey, so that the three form a short crater chain. This is a circular, bowl-shaped crater formation. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.