Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Ros, Luca Motto"'
Let $\mathcal{L}$ be a first-order two-sorted language and consider a class of $\mathcal{L}$-structures of the form $\langle M, X \rangle$ where $M$ varies among structures of the first sort, while $X$ is fixed in the second sort, and it is assumed t
Externí odkaz:
http://arxiv.org/abs/2402.01245
Given a nonempty set $\mathcal{L}$ of linear orders, we say that the linear order $L$ is $\mathcal{L}$-convex embeddable into the linear order $L'$ if it is possible to partition $L$ into convex sets indexed by some element of $\mathcal{L}$ which are
Externí odkaz:
http://arxiv.org/abs/2312.01198
We consider countable linear orders and study the quasi-order of convex embeddability and its induced equivalence relation. We obtain both combinatorial and descriptive set-theoretic results, and further extend our research to the case of circular or
Externí odkaz:
http://arxiv.org/abs/2309.09910
We provide a complete classification, up to order-isomorphism, of all possible Wadge hierarchies on zero-dimensional Polish spaces using (essentially) countable ordinals as complete invariants. We also observe that although our assignment of invarian
Externí odkaz:
http://arxiv.org/abs/2302.01319
In the context of generalized descriptive set theory, we systematically compare and analyze various notions of Polish-like spaces and standard $\kappa$-Borel spaces for $\kappa$ an uncountable (regular) cardinal satisfying $\kappa^{<\kappa} = \kappa$
Externí odkaz:
http://arxiv.org/abs/2107.02587
Autor:
Ros, Luca Motto
Twenty years have passed since Kechris' seminal survey paper [A. S. Kechris, New directions in descriptive set theory. Bull. Symbolic Logic, 5(2):161-174, 1999]. As a follow-up of that work, we review some ot the (anti-)classification results that ha
Externí odkaz:
http://arxiv.org/abs/2105.14865
We explore countable ordered Archimedean groups from the point of view of descriptive set theory. We introduce the space of Archimedean left-orderings $\mathrm{Ar}(G)$ for a given countable group $G$, and prove that the equivalence relation induced b
Externí odkaz:
http://arxiv.org/abs/2010.08049
Autor:
Mangraviti, Francesco, Ros, Luca Motto
Answering one of the main questions of [FHK14, Chapter 7], we show that there is a tight connection between the depth of a classifiable shallow theory $T$ and the Borel rank of the isomorphism relation $\cong^\kappa_T$ on its models of size $\kappa$,
Externí odkaz:
http://arxiv.org/abs/1909.07841
Answering some of the main questions from [MR13], we show that whenever $\kappa$ is a cardinal satisfying $\kappa^{< \kappa} = \kappa > \omega$, then the embeddability relation between $\kappa$-sized structures is strongly invariantly universal, and
Externí odkaz:
http://arxiv.org/abs/1903.08091
Publikováno v:
Annals of Pure and Applied Logic 171 (2020) 102832
We study Polish spaces for which a set of possible distances $A \subseteq \mathbb{R}^+$ is fixed in advance. We determine, depending on the properties of $A$, the complexity of the collection of all Polish metric spaces with distances in $A$, obtaini
Externí odkaz:
http://arxiv.org/abs/1809.06588