Zobrazeno 1 - 6
of 6
pro vyhledávání: '"Tomasz Rzepecki"'
Publikováno v:
The Journal of Symbolic Logic. 86:1508-1540
We show that the countable universal homogeneous meet-tree has a generic automorphism, but it does not have a generic pair of automorphisms.
Comment: 33 pages (incl. references); very minor corrections, references and MSC update
Comment: 33 pages (incl. references); very minor corrections, references and MSC update
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec68cbf18ad15edf18a7435a51b42227
https://doi.org/10.1017/jsl.2021.9
https://doi.org/10.1017/jsl.2021.9
Publikováno v:
Israel Journal of Mathematics. 228:863-932
We develop topological dynamics for the group of automorphisms of a monster model of any given theory. In particular, we find strong relationships between objects from topological dynamics (such as the generalized Bohr compactification introduced by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e87fc48b1c00e949d1cf57ef9d92cf0
https://doi.org/10.1007/s11856-018-1780-3
https://doi.org/10.1007/s11856-018-1780-3
Autor:
Tomasz Rzepecki
We introduce the notion of hereditary G-compactness (with respect to interpretation). We provide a sufficient condition for a poset to not be hereditarily G-compact, which we use to show that any linear order is not hereditarily G-compact. Assuming t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c5f82a6321a7b78236d22ebe9692821
http://arxiv.org/abs/1812.08081
http://arxiv.org/abs/1812.08081
Autor:
Tomasz Rzepecki, Krzysztof Krupiński
We present the (Lascar) Galois group of any countable theory as a quotient of a compact Polish group by an $F_\sigma$ normal subgroup: in general, as a topological group, and under NIP, also in terms of Borel cardinality. This allows us to obtain sim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dced24d75e87d88033ce9157d2fee318
http://arxiv.org/abs/1804.09247
http://arxiv.org/abs/1804.09247
Autor:
Tomasz Rzepecki
We extend some recent results about bounded invariant equivalence relations and invariant subgroups of definable groups: we show that type-definability and smoothness are equivalent conditions in a wider class of relations than heretofore considered,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a2acb6a042815cfc19fdb8d6cef9c77
http://arxiv.org/abs/1602.09009
http://arxiv.org/abs/1602.09009
Autor:
Krzysztof Krupiński, Tomasz Rzepecki
We generalise the main theorems from the paper "The Borel cardinality of Lascar strong types" by I. Kaplan, B. Miller and P. Simon to a wider class of bounded invariant equivalence relations. We apply them to describe relationships between fundamenta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc3a8b315a9465c00317b81050c1fa26