کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6424732 | 1344302 | 2012 | 8 صفحه PDF | دانلود رایگان |
In this note, we show that every monotonically (countably) metacompact space is hereditarily a D-space and every monotonically meta-Lindelöf space is hereditarily dually Ï-closed discrete. As a corollary, we show that if X is a monotonically meta-Lindelöf (or monotonically (countably) metacompact) monotonically normal space then X is hereditarily paracompact. In the second part of this note, we show that every scattered partition of a hereditarily almost thickly covered space is almost thick, and hence a hereditarily almost thickly covered space is aD and linearly D. This answers a question of Guo and Junnila. We also show that every monotonically Ï-monolithic compact space is monotonically monolithic. This answers a question of Alas, Tkachuk and Wilson.
Journal: Topology and its Applications - Volume 159, Issue 15, 15 September 2012, Pages 3274-3281