Vertical axis is the initial orbital period in days; horizontal axis is the initial mass of the primary in a close binary system. The secondary has a mass equal to 2/3 the mass of the primary. The different panels correspond to different initial metallicities Z and to different initial rotation of the primary. The letters SD are for spin-down cases. The letters SU are for spin-up cases. Left panel: a homogeneous evolution during the main-sequence phase occurs where homog is indicated (light blue areas). Non-homogeneous evolution during the main-sequence phase occurs where non homog is indicated (dark blue areas). Right panel: Roche lobe overflow during the main-sequence phase is avoided where no RLOF is indicated (light brown areas). Roche lobe overflow during the main-sequence phase occurs where RLOF is indicated (dark brown areas).