Radial tyre, defining three main directions, circumferential, axial and radial, comprising a crown surmounted by a tread, two sidewalls, two beads, each sidewall connecting each bead to the crown, a carcass reinforcement that is anchored in each of the beads and extends in the sidewalls to the crown, a crown reinforcement or belt that extends in the crown in the circumferential direction and is situated radially between the carcass reinforcement and the tread, the said belt comprising a multilayer composite laminate (10a, 10b, 10c) comprising at least three superposed layers of reinforcers (110, 120, 130), the said reinforcers being unidirectional within each layer and embedded in a thickness of rubber (C1, C2, C3, respectively), with: • on the tread side, a first layer of rubber comprising a first row of reinforcers which are oriented at an angle alpha of -5 to +5 degrees with respect to the circumferential direction, these reinforcers, referred to as first reinforcers, being made of a heat-shrinkable textile material; • in contact with the first layer and disposed beneath the latter, a second layer of rubber comprising a second row of reinforcers which are oriented at a given angle beta, which is positive or negative, of between 10 and 30 degrees with respect to the circumferential direction, these reinforcers, referred to as second reinforcers, being metal reinforcers; • in contact with the second layer and disposed beneath the latter, a third layer of rubber comprising a third row of reinforcers which are oriented at an angle gamma the opposite of the angle beta, itself being between 10 and 30 degrees with respect to the circumferential direction, these reinforcers, referred to as third reinforcers, being metal reinforcers, characterized in that: • the first reinforcers made of heat-shrinkable textile material are monofilaments with a diameter or thickness f greater than 0.10 mm, or assemblies of such monofilaments; • the envelope diameter denoted D1 of the first reinforcers is between 0.20 mm and 1.20 mm; • the second and third reinforcers are steel monofilaments with a diameter or thickness, respectively D2 and D3, of between 0.20 mm and 0.50 mm; the following features, measured in the central part of the belt of the tyre in the vulcanized state on either side of the median plane over a total axial width of 10 cm are satisfied: • the mean thickness Ez 1 of rubber separating a first reinforcer from the second reinforcer which is closest to it, measured in the radial direction, is less than or equal to 0.35 mm; • the mean thickness Ez 2 of rubber separating a second reinforcer from the third reinforcer which is closest to it, measured in the radial direction, is less than or equal to 0.35 mm. • on the tread side, a first layer of rubber comprising a first row of reinforcers which are oriented at an angle alpha of -5 to +5 degrees with respect to the circumferential direction, these reinforcers, referred to as first reinforcers, being made of a heat-shrinkable textile material; • in contact with the first layer and disposed beneath the latter, a second layer of rubber comprising a second row of reinforcers which are oriented at a given angle beta, which is positive or negative, of between 10 and 30 degrees with respect to the circumferential direction, these reinforcers, referred to as second reinforcers, being metal reinforcers; • in contact with the second layer and disposed beneath the latter, a third layer of rubber comprising a third row of reinforcers which are oriented at an angle gamma the opposite of the angle beta, itself being between 10 and 30 degrees with respect to the circumferential direction, these reinforcers, referred to as third reinforcers, being metal reinforcers, • the first reinforcers made of heat-shrinkable textile material are monofilaments with a diameter or thickness f greater than 0.10 mm, or assemblies of such monofilaments; • the envelope diameter denoted D1 of the first reinforcers is between 0.20 mm and 1.20 mm; • the second and third reinforcers are steel monofilaments with a diameter or thickness, respectively D2 and D3, of between 0.20 mm and 0.50 mm; • the mean thickness Ez 1 of rubber separating a first reinforcer from the second reinforcer which is closest to it, measured in the radial direction, is less than or equal to 0.35 mm; • the mean thickness Ez 2 of rubber separating a second reinforcer from the third reinforcer which is closest to it, measured in the radial direction, is less than or equal to 0.35 mm.