Products of Lindelöf spaces and GO-spaces

Citations of this article
Mendeley users who have this article in their library.
Get full text


We prove that if X is a paracompact monotonically normal space, and Y has a point-countable base, then X × Y is meta-Lindelöf. It follows from results of Alster and Lawrence that, assuming b > ω1, if X is a Lindelöf monotonically normal space and ωω is the space of irrationals, then X × ωω is Lindelöf. We also consider the following problem: Are there in ZFC Lindelöf spaces X and Y such that every uncountable subset of X × Y has a condensation point, but X × Y is not Lindelöf? We show that there are examples of such X and Y assuming c > ω1, and it is consistent that there are examples with X and Y hereditarily Lindelöf. We prove (in ZFC) that there are no examples where X is a Lindelöf GO-space and Y is hereditarily Lindelöf. © 1995.




Alster, K., & Gruenhage, G. (1995). Products of Lindelöf spaces and GO-spaces. Topology and Its Applications, 64(1), 23–36.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free