Boriša Kuzeljević

activity

20132025

most citedMaximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders

1 citations · 1 across the 6 of their papers we have counts for

collaborators

10 papers

math.GN2025

Topological groups from matrices of sets

Boriša Kuzeljević, Stepan Milošević, Stevo Todorčević

We give a general construction of topological groups from combinatorial structures such as trees, towers, gaps, and subadditive functions. We connect topological properties of corr…

math.GN2024

Cofinal types and topological groups

Boriša Kuzeljević, Stepan Milošević

The purpose of this note is to start the systematic analysis of cofinal types of topological groups.

math.LO2024

Order structure of P-point ultrafilters and their relatives

Borisa Kuzeljevic, Dilip Raghavan

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, sta…

math.LO2022

Lower bounds of sets of P-points

Borisa Kuzeljevic, Dilip Raghavan, Jonathan L. Verner

We show that $MA_{κ}$ implies that each collection of $P_{c}$ -points of size at most $κ$ which has a $P_{c}$ -point as an $R K$ upper bound also has a ${…

math.LO2021

Cofinal types on $ω_{2}$

Borisa Kuzeljevic, Stevo Todorcevic

In this paper we start the analysis of the class $D_{ℵ_{2}}$ , the class of cofinal types of directed sets of cofinality at most $ℵ_{2}$ . We compare elements of $\mat…

math.LO2019

Antichains of Copies of Ultrahomogeneous Structures

Miloš S. Kurilić, Boriša Kuzeljević

We investigate possible cardinalities of maximal antichains in the poset of copies $⟨ P (X), \subset ⟩$ of a countable ultrahomogeneous relational structu…

math.LO2016

A long chain of P-points

Borisa Kuzeljevic, Dilip Raghavan

The notion of a $δ$ -generic sequence of P-points is introduced in this paper. It is proved assuming the Continuum Hypothesis that for each $δ < ω_{2}$ , any $δ$ -generic sequence of P…

math.LO2015

Forcing with matrices of countable elementary submodels

Borisa Kuzeljevic, Stevo Todorcevic

We analyze the forcing notion $P$ of finite matrices whose rows consists of isomorphic countable elementary submodels of a given structure of the form $H_{θ}$ . We show that…

math.LO2013

Maximal Chains of Isomorphic Subgraphs of Countable Ultrahomogeneous Graphs

Milos S. Kurilic, Borisa Kuzeljevic

For a countable ultrahomogeneous graph G let P(G) denote the collection of domains of subgraphs of G isomorphic to G. The order types of maximal chains in the set P(G) U ø ordered…

math.LO2013★ 1 cited

Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders