Regularity and normality on L-topological spaces. I.
Remarks on sequence-covering maps
In this paper, we prove that each sequence-covering and boundary-compact map on -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [Lin.F.C.and.Lin.S-2011].
Residuality of the set of embeddings into Nagata's n-dimensional universal spaces