Ralf Schindler

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math.LO2026

The transcendence degree of the reals over certain set-theoretical subfields

Azul Fatalini, Ralf Schindler

It is a well-known result that, after adding one Cohen real, the transcendence degree of the reals over the ground-model reals is continuum. We extend this result for a set $X$ of…

math.LO2024

Martin's Maximum $_{c}^{*, ++}$ in $P_{m a x}$ extensions of strong models of determinacy

Ralf Schindler, Taichi Yasuda

We study a strengthening of $MM^{++}$ which is called $MM^{*, ++}$ and which was introduced by AsperÃ³ and Schindler. We force its bounded version $\mathrm{MM}…

The transcendence degree of the reals over certain set-theoretical subfields

Martin's Maximumc∗,++​ in Pmax​ extensions of strong models of determinacy

Martin's Maximum $_{c}^{*, ++}$ in $P_{m a x}$ extensions of strong models of determinacy