5 citations · 9 across the 13 of their papers we have counts for
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Isomorphic and Strongly Connected Components
Milos Kurilic
We study the partial orderings of the form , where is a binary relational structure with the connectivity compone…
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…
Forcing With Copies of Countable Ordinals
Milos Kurilic
Let αbe a countable ordinal and ¶(α) the collection of its subsets isomorphic to α. We show that the separative quotient of the set ¶(α) ordered by the inclusion is isomorphic to a…
Four Games on Boolean Algebras
Milos S. Kurilic, Boris Sobot
The games G_2 and G_3 are played on a complete Boolean algebra B in ω-many moves. At the beginning White picks a non-zero element p of B and, in the n-th move, White picks a positi…
Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders
Milos S. Kurilic, Borisa Kuzeljevic
We investigate the poset (P(X),\subset), where P(X) is the set of isomorphic suborders of a countable ultrahomogeneous partial order X. For X different from (resp. equal to) a coun…
Posets of Copies of Countable Scattered Linear Orders
Milos S. Kurilic
We show that the separative quotient of the poset (P(L),\subset) of isomorphic suborders of a countable scattered linear order L is σ-closed and atomless. So, under the CH, all the…
Maximally Embeddable Components
Milos S. Kurilic
We investigate the partial orderings of the form (P(X),\subset), where X is a countable binary relational structure and P(X) the set of the domains of its isomorphic substructures…
From A1 to D5: Towards a Forcing-Related Classification of Relational Structures
Milos S. Kurilic
We investigate the partial orderings of the form (P(X),\subset), where X is a relational structure and P(X) the set of the domains of its isomorphic substructures. A rough classifi…
A convergence on Boolean algebras generalizing the convergence on the Aleksandrov cube
Miloš S. Kurilić, Aleksandar Pavlović
We compare the forcing related properties of a complete Boolean algebra B with the properties of the convergences (the algebraic convergence) and on B generalizing t…