A new class of spaces with all finite powers Lindelof

作者：May Natasha^*; Spadaro Santi; Szeptycki Paul

来源：Topology and Its Applications, 2014, 170: 104-118.

DOI：10.1016/j.topol.2014.04.004

• Countable network weight
• D-spaces
• L-spaces
• Lindelof spaces

We consider a new class of open covers and classes of spaces defined from them, called iota-spaces ("iota spaces"). We explore their relationship with epsilon-spaces (that is, spaces having all finite powers Lindelof) and countable network weight. An example of a hereditarily epsilon-space whose square is not hereditarily Lindelof is provided answering a question from [11].

• 出版日期2014-6-15