We consider a new class of open covers and classes of spaces defined from them, called "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.
May N, SPADARO, S.D., Szeptycki P. (2014). A new class of spaces with all finite powers Lindelof. TOPOLOGY AND ITS APPLICATIONS, 170, 104-118 [10.1016/j.topol.2014.04.004].
A new class of spaces with all finite powers Lindelof
SPADARO, SANTI DOMENICO;
2014-01-01
Abstract
We consider a new class of open covers and classes of spaces defined from them, called "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.
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