A new class of spaces with all finite powers Lindeloef

摘要

We consider a new class of open covers and classes of spaces defined from them, called ι-spaces ("iota spaces"). We explore their relationship with ε-spaces (that is, spaces having all finite powers Lindelof) and countable network weight. An example of a hereditarily e-space whose square is not hereditarily Lindeloef is provided answering a question from .