Abstract:Some relationships between $1$-sequence-covering maps and weak-open maps or sequence-covering $s$-maps are discussed. These results are used to generalize a result from Lin S., Yan P., {Sequence-covering maps of metric spaces}, Topology Appl. {109} (2001), 301--314.
Keywords: weak base, $sn$-network, sequence-covering, $1$-sequence-covering, weak-open, $\pi $-$s$-map
AMS Subject Classification: 54C10, 54D65, 54E40, 54E99