An internal topological characterization of the subspaces of Eberlein compacta and related compacta – II

We generalize a theorem of E. Michael and M.E. Rudin [18, Theorem 1.1], and we obtain a new internal characterization of the uniform Eberlein compacta, which is in the spirit of the characterization of the Eberlein compacta given by E. Michael and M.E. Rudin [19, Theorem 1.4]; we give, as well, some partial answers to a recent question of A.V. Arhangel'skiı̌.