Separately continuous weak selections on products

The existence of continuous weak selections and orderability-type properties in products and filter spaces

“…This theorem was proved in the case of continuous weak selections by García-Ferreira, Miyazaki and Nogura [8,Theorem 3.4]. It was extended to the case of separately continuous weak selections by the first author in [19].…”

“…The generalization to the case of separately continuous weak selections can be derived from [10, Proposition 3.4 and Remark 3.5]. A slightly more general result can be found in [19]. Theorem 1.2.…”

“…The following theorem was proved in [19] as an extension of [ Countable compactness of X cannot be dropped in this theorem; see Remark 6.12. The purpose of this paper is to study the existence of continuous weak selections and related properties in (1) for filter spaces and product spaces.…”