Blind apparatus with roller screen

The arrangement (1) has material (10) that can be moved between rolled up and deployed positions and at least one transverse reinforcement fixed to the material to support in the longitudinal and transverse directions in the shaded region. Each transverse reinforcement (30) can be displaced relative to the material between a lying position, in which it essentially extends parallel to a directly adjacent part of the material with the material retracted, and a raised position in which it essentially extends perpendicular to the directly adjacent part of the material with the material deployed.