Note on "Paracompactness in Small Products"
Note on "Paracompactness in Small Products"
In [1], Willard proves the following If a regular paracompact space X has a dense Lindelöfsubspace, then X is Lindelöf. Willard notes that the above is a generalization of the standard theorem: A separable paracompact space is Lindelöf. Actually, it is a standard fact ([2, p. 24]) that a separable …