Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661168 | Topology and its Applications | 2007 | 11 Pages |
Abstract
A space is monotonically Lindelöf (mL) if one can assign to every open cover U a countable open refinement r(U) (still covering the space) so that r(U) refines r(V) whenever U refines V. Some examples of mL and non-mL spaces are considered. In particular, it is shown that the product of a mL space and the convergent sequence need not be mL, that some L-spaces are mL, and that Cp(X) is mL only for countable X.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology