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20022026
most citedVariational Problems with Fractional Derivatives: Euler-Lagrange Equations

166 citations

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16 papers · 1 filter

math.LO2023

Echeloned Spaces

Maxime Gheysens, Bojana Pavlica, Christian Pech +2

We introduce the notion of echeloned spaces - an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morp…

math.LO2020★ 3 cited

Congruence of ultrafilters

Boris Šobot

We continue the research of the relation on the set of ultrafilters on , defined as an extension of the div…

math.LO2018

Back and Forth Systems of Condensations

Miloš S. Kurilić

If is a relational language, an -structure is condensable to an -structure , we write , iff there is a…

math.LO2017

Reconstructing the topology of the elementary self-embedding monoids of countable saturated structures

Christian Pech, Maja Pech

Every transformation monoid comes equipped with a canonical topology-the topology of pointwise convergence. For some structures, the topology of the endomorphism monoid can be reco…

math.LO2014★ 2 cited

Different Similarities

Miloš S. Kurilić

We establish the hierarchy among twelve equivalence relations (similarities) on the class of relational structures: the equality, the isomorphism, the equimorphism, the full relati…

math.LO2014★ 8 cited

On automatic homeomorphicity for transformation monoids

Christian Pech, Maja Pech

Transformation monoids carry a canonical topology --- the topology of point-wise convergence. A closed transformation monoid is said to have automatic homeomorphicit…

math.LO2013

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…

math.LO2013★ 11 cited

On polymorphism-homogeneous relational structures and their clones

Christian Pech, Maja Pech

A relational structure is homomorphism-homogeneous if every homomorphism between finite substructures extends to an endomorphism of the structure. This notion was introduced recent…

math.LO2013

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…

math.LO2013★ 12 cited

Towards a Ryll-Nardzewski-type Theorem for weakly oligomorphic structures

Christian Pech, Maja Pech

A structure is called weakly oligomorphic if it realizes only finitely many n-ary positive existential types for every n. The goal of this paper is to show that the notions of homo…

math.LO2013★ 1 cited

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…

math.LO2013★ 5 cited

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…

math.LO2013

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…

math.LO2013★ 1 cited

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…

math.LO2011★ 1 cited

Resource control and strong normalisation

Silvia Ghilezan, Jelena Ivetic, Pierre Lescanne +1

We introduce the \emph{resource control cube}, a system consisting of eight intuitionistic lambda calculi with either implicit or explicit control of resources and with either natu…

math.LO2007

CD(4) has bounded width

Catarina Carvalho, Víctor Dalmau, Petar Marković +1

We prove that the constraint languages invariant under a short sequence of Jónsson terms (containing at most three non-trivial ternary terms) are tractable by showing that they hav…