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A new class of spaces with all finite powers Lindelof

2013/02/21 by May, Natasha, Spadaro, Santi, Szeptycki, Paul
#FOS: Mathematics #General Topology (math.GN) #Primary: 54D20 #Secondary: 54A25

paper · doi:10.48550/arxiv.1302.5287

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.

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