6533b870fe1ef96bd12cfca4

RESEARCH PRODUCT

Selective versions of chain condition-type properties

Leandro F. AurichiSanti SpadaroLyubomyr Zdomskyy

subject

Pure mathematicsRothberger spaceGeneral MathematicsMathematics::General TopologyType (model theory)01 natural sciencesChain (algebraic topology)FOS: Mathematicstopological games0101 mathematicsMathematics - General TopologyMathematicsDiscrete mathematicsContinuum (topology)010102 general mathematicsGeneral Topology (math.GN)TEORIA DOS JOGOSMathematics - Logic16. Peace & justice010101 applied mathematicsMathematics::LogicPrimary: 54A25 03E17 91A44 Secondary: 54D35 54D10selection principlescardinal inequalitiesLogic (math.LO)Chain conditions

description

We study selective and game-theoretic versions of properties like the ccc, weak Lindel\"ofness and separability, giving various characterizations of them and exploring connections between these properties and some classical cardinal invariants of the continuum.

yearjournalcountryeditionlanguage
2015-01-31Acta Mathematica Hungarica
https://doi.org/10.1007/s10474-015-0565-y