On weakly monotonically monolithic spaces
Liang-Xue Peng (2010)
Commentationes Mathematicae Universitatis Carolinae
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In this note, we introduce the concept of weakly monotonically monolithic spaces, and show that every weakly monotonically monolithic space is a -space. Thus most known conclusions on -spaces can be obtained by this conclusion. As a corollary, we have that if a regular space is sequential and has a point-countable -network then is a -space.