Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Krupiński, Krzysztof"'
We study idempotent measures and the structure of the convolution semigroups of measures over definable groups. We isolate the property of generic transitivity and demonstrate that it is sufficient (and necessary) to develop stable group theory local
Externí odkaz:
http://arxiv.org/abs/2406.00912
Autor:
Krupiński, Krzysztof, Pillay, Anand
We give a proof of the existence of generalized definable locally compact models for arbitrary approximate subgroups via an application of topological dynamics in model theory. Our construction is simpler and shorter than the original one obtained by
Externí odkaz:
http://arxiv.org/abs/2310.20683
Autor:
Krupiński, Krzysztof, Portillo, Adrián
For a NIP theory $T$, a sufficiently saturated model $\mathfrak{C}$ of $T$, and an invariant (over some small subset of $\mathfrak{C}$) global type $p$, we prove that there exists a finest relatively type-definable over a small set of parameters from
Externí odkaz:
http://arxiv.org/abs/2302.02389
Autor:
Krupiński, Krzysztof
By an approximate subring of a ring we mean an additively symmetric subset $X$ such that $X\cdot X \cup (X +X)$ is covered by finitely many additive translates of $X$. We prove that each approximate subring $X$ of a ring has a locally compact model,
Externí odkaz:
http://arxiv.org/abs/2203.05609
Autor:
Chernikov, Artem, Hrushovski, Ehud, Kruckman, Alex, Krupinski, Krzysztof, Moconja, Slavko, Pillay, Anand, Ramsey, Nicholas
We give examples of (i) a simple theory with a formula (with parameters) which does not fork over the empty set but has mu measure 0 for every automorphism invariant Keisler measure mu, and (ii) a definable group G in a simple theory such that G is n
Externí odkaz:
http://arxiv.org/abs/2105.07281
Autor:
Krupiński, Krzysztof, Rzepecki, Tomasz
We obtain several fundamental results on finite index ideals and additive subgroups of rings as well as on model-theoretic connected components of rings, which concern generating in finitely many steps inside additive groups of rings. Let $R$ be any
Externí odkaz:
http://arxiv.org/abs/2012.04389
We introduce and study model-theoretic connected components of rings as an analogue of model-theoretic connected components of definable groups. We develop their basic theory and use them to describe both the definable and classical Bohr compactifica
Externí odkaz:
http://arxiv.org/abs/2011.04822
We introduce the notion of first order amenability, as a property of a first order theory $T$: every complete type over $\emptyset$, in possibly infinitely many variables, extends to an automorphism-invariant global Keisler measure in the same variab
Externí odkaz:
http://arxiv.org/abs/2004.08306