Anand Pillay

activity

20242026

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math.LO2026

Relative stability, relative categoricity and internal covers

Mostafa Mirabi, Anand Pillay

Let $T$ be a countable complete theory with a distinguished unary predicate $P$ , and let $T^{P}$ be the theory of the $P$ -parts of models of $T$ with the induced structure. $T$ is…

math.LO2026

Remarks on relative categoricity

Anand Pillay

The paper is partly a survey with historical background and references, partly provides the opportunity to put in print some unpublished early work, and partly has new results. A s…

math.LO2026

On groups definable in $p$ -adically closed fields

Anand Pillay, Ningyuan Yao, Zhentao Zhang

This paper is about the $df g$ / $f s g$ decomposition for groups $G$ definable in $p$ -adically closed fields. It is proved that for $G$ definably amenable, $G$ has a definable normal $…

Relative stability, relative categoricity and internal covers

Remarks on relative categoricity

On groups definable in p-adically closed fields

On groups definable in $p$ -adically closed fields