Weaker Rudominer–Steel conjecture with an existing omega-one
Assume ZF+ADL(R)\mathrm{ZF}+\mathsf{AD}^{L(\mathbb R)}ZF+ADL(R). Let MMM be a (0,ω1)(0,\omega_1)(0,ω1)-iterable countable ω\omegaω-small premouse satisfying “ω1\omega_1ω1 exists”. Then there are γ\gammaγ,…