On productively Lindelöf spaces

2011/04/10 by Tall, Franklin D., Tsaban, Boaz
#FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.1104.1759

Abstract

The class of spaces such that their product with every Lindelöf space is Lindelöf is not well-understood. We prove a number of new results concerning such productively Lindelöf spaces with some extra property, mainly assuming the Continuum Hypothesis.

Related

• Internal characterizations of productively Lindelöf spaces
• Productively Lindelof and Indestructibly Lindelof Spaces
• Productively Lindelof spaces may all be D
• Lindelof spaces which are indestructible, productive, or D
• Weak covering properties and selection principles