  There has recently been considerable interest in productively Lindelof
spaces, i.e. spaces such that their product with every Lindelof space is
Lindelof. Here we make several related remarks about such spaces.
Indestructible Lindelof spaces, i.e. spaces that remain Lindelof in every
countably closed forcing extension, were introduced by Tall in 1995. Their
connection with topological games and selection principles was explored by
Scheepers and Tall in 2010. We find further connections here.
