A Lašnev space is LF-netted (Q2716452)

Studying the problem of normality of products, \textit{H. J. K. Junnila} and \textit{Y. Yajima} [Topology Appl. 85, No. 1-3, 375-394 (1998; Zbl 0923.54011)] introduced the class of LF-netted spaces. Its definition is given in terms of special networks. In this paper, the authors study the class of LF-netted spaces from the point of view of the theory of generalized metric spaces. In particular, answering a question posed by Junnila and Yajima, they show that a Lashnev space (i.e. a closed continuous image of a metric space) is LF-netted.