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arXiv 2013-02-21 0 views

A new class of spaces with all finite powers Lindelof

May, Natasha · Spadaro, Santi · Szeptycki, Paul

Original · EN

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.

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