6533b7d8fe1ef96bd12698f5

RESEARCH PRODUCT

A new class of spaces with all finite powers Lindelof

Santi SpadaroNatasha MayPaul J. Szeptycki

subject

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

description

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.

yearjournalcountryeditionlanguage
2013-02-21
10.1016/j.topol.2014.04.004http://hdl.handle.net/10447/480952