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On monotone Lindelöfness
by
Mikhail Matveev
George Mason University
Coauthors: Ronnie Levy (George Mason University)
A space is called monotonically Lindelöf (mL) if one can assign to every open cover U a countable open refinement r(U) so that r(U) refines r(V) whenever U refines V. Among other things, we note that some L-spaces are mL, that the product of a mL space and a convergent sequence need not be mL, that Cp(X) is mL only when X is countable.
Date received: March 8, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cast-42.