Scales and the fine structure of K(R). Part II: Weak real mice and scales

dc.creatorCunningham, D. W.
dc.date2006-05-16
dc.date2006-05-16
dc.date.accessioned2026-07-07T07:14:19Z
dc.date.available2026-07-07T07:14:19Z
dc.descriptionWe define weak real mice $\mathcal{M}$ and prove that the boldface pointclass $\boldsymbolΣ_m(\mathcal{M})$ has the scale property assuming only the determinacy of sets of reals in $\mathcal{M}$ when $m$ is the smallest integer $m>0$ such that $\boldsymbolΣ_m(\mathcal{M})$ contains a set of reals not in $\mathcal{M}$. We shall use this development in Part III to obtain scales of minimal complexity in $K(\mathbb{R})$.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0605448
dc.identifierhttp://arxiv.org/abs/math/0605448
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112827
dc.subjectLogic
dc.subject03E15 (Primary); 03E45, 03E60 (Secondary)
dc.titleScales and the fine structure of K(R). Part II: Weak real mice and scales
dc.typetext

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