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arxiv 2501.08298 v3 pith:TQ5XOQQP submitted 2025-01-14 math.GN

Q-Sets, Delta-Sets, and L-Spaces

Pourya Memarpanahi , Paul Szeptycki This is my paper
classification math.GN
keywords spacedeltalindelofq-setaronszajnassumingconsidereddelta-sets
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The question whether there is a Lindelof Q-set space or Lindelof $\Delta$-set space is considered. We show that J. Moore's ZFC $L$-space is not a Q-set space in ZFC and, assuming all Aronszajn trees are special, it is not a $\Delta$-set space.

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  1. New results about Q and $\Delta$-spaces

    math.GN 2026-07 unverdicted novelty 7.0

    Equiconsistency of a measurable cardinal with crowded Baire T1 Δ-spaces, crowded Baire T4 Q-spaces, and T1/T3 versions admitting strictly positive probability measures vanishing on points, plus a cardinality bound for...