Strongly irresolvable spaces
From the authors' abstract: A topological space is strongly irresolvable if no nonempty open subspace is resolvable [\textit{J. Foran} and \textit{P. Liebnitz}, Rend. Circ. Mat. Palermo, II. Ser. 40, No. 1, 36--141 (1991; Zbl 0725.54024)]. The authors give several characterizations of strong irresolvability, demonstrate the relationships between strong irresolvability, submaximality and hereditary irresolvability and show that strong irresolvability is a not finitely productive faint topological property, while neither submaximality nor hereditary irresolvability is semitopological.
scientific article; zbMATH DE number 5164254