Abstract: A braking device has a portion having a braking surface adapted to come into contact with an opposite facing braking surface to apply a braking action, the braking surface being circumferentially free from obstacles to allow relative rotation between the braking surface and opposite facing braking surface when mutually in contact, and defining, in any point with respect to a revolution axis if the braking surface is fixed, or a rotation axis if the braking surface is rotative, an axial direction, a radial direction, a circumferential direction, and a tangential direction. A support connecting portion is radially outside the braking surface, either radially away from or outside the braking surface or either radially close to or inside the braking surface. A cooling portion, included circumferentially and laterally to the support connecting portion, has a plurality of axially through-openings adapted to increase a heat exchange surface and unadapted to create connecting surfaces.