Abstract
We generalize some known results regarding topological spaces defined by combinatorial ideals on ω.(1)We show that no Mrówka space is a differentially compact space.(2)Under the continuum hypothesis, we construct an I-space (where I is a P+-ideal) which is not a differentially compact space.(3)Under Martin's axiom, we construct an I-space (where I is an Fσ ideal) which is not a differentially compact space.
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