Cesare Straffelini

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math.LO2026

Minimal Banach-Tarski decompositions

Cesare Straffelini, Kilian Zambanini

We investigate the problem of finding the minimum number of pieces necessary for dividing a three-dimensional sphere or a ball and reassembling it to form $n$ congruent copies of t…

math.LO2026

Terminal Absoluteness of Collapse Forcings

Cesare Straffelini

Generic absoluteness is the phenomenon that certain truths in the set-theoretic universe remain stable under forcing expansions. A classical result by Kripke asserts that every com…

math.LO2026

Higher Solovay Models

Cesare Straffelini, Sebastiano Thei

We introduce an axiomatisation of when a model of the form $L (V_{I^º + 1})^{M}$ can be considered a `` $I^º$ -Solovay model''; we show a characterisation of $I^º$ -Solovay models; and we pro…