Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Kuzeljevic, Borisa"'
Autor:
Kurilić, Miloš S., Kuzeljević, Boriša
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 7, Pp 791-796 (2020)
A family of infinite subsets of a countable set $X$ is called positive iff it is closed under supersets and finite changes and contains a co-infinite set. We show that a countable ultrahomogeneous relational structure ${\mathbb{X}}$ has the strong am
Externí odkaz:
https://doaj.org/article/ccb966a9fe8b468aaa74c562791fec72
Autor:
Kurilić, Miloš, Kuzeljević, Boriša
If $\lambda <\kappa$ are infinite cardinals, a linear order $L$ is isomorphic to a maximal chain in $[\kappa ]^{\kappa |\kappa }$ (resp. $[\kappa ]^{\lambda |\kappa }$; $[\kappa ]^{\kappa |\lambda }$) iff $L$ is weakly Boolean, the weight of all init
Externí odkaz:
http://arxiv.org/abs/2412.20463
Autor:
Kuzeljević, Boriša, Milošević, Stepan
The purpose of this note is to start the systematic analysis of cofinal types of topological groups.
Externí odkaz:
http://arxiv.org/abs/2404.04625
Autor:
Kuzeljevic, Borisa, Raghavan, Dilip
We survey some recent results about the order structure of various kinds of ultrafilters. More precisely, we study Rudin-Keisler and Tukey reducibility in classes of selective, stable ordered-union, and P-point ultrafilters. Although these reductions
Externí odkaz:
http://arxiv.org/abs/2404.03238
We show that $\mathrm{MA}_{\kappa}$ implies that each collection of ${P}_{\mathfrak c}$-points of size at most $\kappa$ which has a $P_{\mathfrak c}$-point as an $RK$ upper bound also has a ${P}_{\mathfrak c}$-point as an $RK$ lower bound.
Externí odkaz:
http://arxiv.org/abs/2204.12203
Autor:
Kuzeljevic, Borisa, Todorcevic, Stevo
In this paper we start the analysis of the class $\mathcal D_{\aleph_2}$, the class of cofinal types of directed sets of cofinality at most $\aleph_2$. We compare elements of $\mathcal D_{\aleph_2}$ using the notion of Tukey reducibility. We isolate
Externí odkaz:
http://arxiv.org/abs/2108.03701
Autor:
Kubiś, Wiesław, Kuzeljević, Boriša
We discuss some finite homogeneous structures, addressing the question of universality of their automorphism groups. We also study the existence of so-called Kat\v{e}tov functors in finite categories of embeddings or homomorphisms.
Comment: 9 pa
Comment: 9 pa
Externí odkaz:
http://arxiv.org/abs/2004.13643
Autor:
Kurilić, Miloš S., Kuzeljević, Boriša
We investigate possible cardinalities of maximal antichains in the poset of copies $\langle \mathbb P(\mathbb X),\subset \rangle$ of a countable ultrahomogeneous relational structure $\mathbb X$. It turns out that if the age of $\mathbb X$ has the st
Externí odkaz:
http://arxiv.org/abs/1904.00656
Autor:
Kuzeljevic, Borisa, Raghavan, Dilip
The notion of a $\delta$-generic sequence of P-points is introduced in this paper. It is proved assuming the Continuum Hypothesis that for each $\delta < {\omega}_{2}$, any $\delta$-generic sequence of P-points can be extended to an ${\omega}_{2}$-ge
Externí odkaz:
http://arxiv.org/abs/1607.07188
Autor:
Kuzeljevic, Borisa, Todorcevic, Stevo
We analyze the forcing notion $\mathcal P$ of finite matrices whose rows consists of isomorphic countable elementary submodels of a given structure of the form $H_{\theta}$. We show that forcing with this poset adds a Kurepa tree $T$. Moreover, if $\
Externí odkaz:
http://arxiv.org/abs/1503.08352