0000000000310067

AUTHOR

Natasha May

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A new class of spaces with all finite powers Lindelof

2013

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.

Primary: 54D20 Secondary: 54A25Lindelof spacesPure mathematicsL-space010102 general mathematicsGeneral Topology (math.GN)Mathematics::General TopologySpace (mathematics)01 natural sciencesSquare (algebra)010101 applied mathematicsNew classCountable network weightMathematics::LogicFOS: MathematicsCountable setD-spaceGeometry and Topology0101 mathematicsMathematics - General TopologyMathematics
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