A second countable locally compact transitive groupoid without open range map Mădălina Buneci Proceedings of the American Mathematical Society, 2019 Dana P. Williams raised in [Proc. Amer. Math. Soc., Ser. B 3 (2016), pp. 1–8] the following question: Must a second countable, locally compact, transitive groupoid have open range map? This paper gives a negative answer to that question. Although a second countable, locally compact transitive groupoid G G may fail to have open range map, we prove that we can replace its topology with a topology which is also second countable, locally compact, and with respect to which G G is a topological groupoid whose range map is open. Moreover, the two topologies generate the same Borel structure and coincide on the fibres of G G .
A urysohn type lemma for groupoid Theory and Applications of Categories, 2017
Topological groupoids with locally compact fibres Topology Proceedings, 2011
Morphisms of discrete dynamical systems Mădălina Roxana Buneci and Discrete and Continuous Dynamical Systems, 2011 The purpose of this paper is to introduce a category whose objects are discrete dynamical systems $( X,P,H,\\theta ) $ in the sense of [6] and whose arrows will be defined starting from the notion of groupoid morphism given in [10]. We shall also construct a contravariant functor $( X,P,H,\\theta ) \\rightarrow $C* $( X,P,H,\\theta ) $ from the subcategory of discrete dynamical systems for which $PP^{-1}$ is amenable to the category of C* -algebras, where C* $( X,P,H,\\theta ) $ is the C* -algebra associated to the groupoid $G( X,P,H,\\theta)$.
A generalization of zakrzewski morphisms Advanced Studies in Contemporary Mathematics Kyungshang, 2009
Isomorphic groupoid C*-algebras associated with different Haar systems New York Journal of Mathematics, 2005
Morphisms which are continuous on a neighborhood of the base of a groupoid M. Buneci Studia Scientiarum Mathematicarum Hungarica, 2005 Kirill Mackenzie raised in [3] (p. 31) the following question: given a morphism F : Ω → Ω′, where Ω and Ω′ are topological groupoids and F is continuous on a neighborhood of the base in Ω, is it true that is Ω continuous everywhere?This paper gives a negative answer to that question. Moreover, we shall prove that for a locally compact groupoid Ω with non-singleton orbits and having open target projection, if we assume that the continuity of every morphism F on a neighborhood of the base in Ω implies the continuity of F everywhere, then the groupoid Ω must be locally transitive.
RECENT SCHOLAR PUBLICATIONS
MORPHOLOGICAL GRADIENTS BASED ON NEIGHBORHOOD-CONTROLLED FUZZY ROUGH APPROXIMATIONS: A COMPARATIVE VISUALIZATION STUDY MR Buneci Annals of'Constantin Brancusi'University of Targu-Jiu. Engineering Series … , 2025 2025
A CATEGORY OF GROUPOIDS WITH MULTIPLICATION-COMMUTING FUZZY ACTIONS. MR Buneci Annals of'Constantin Brancusi'University of Targu-Jiu. Engineering Series … , 2025 2025
FUZZIFICATION AND DEFUZZIFICATION OF IRREVERSIBLE DYNAMICS THROUGH ALGEBRAIC STRUCTURES. MR Buneci Annals of'Constantin Brancusi'University of Targu-Jiu. Engineering Series … , 2024 2024
Visualization tools for fuzzy discrete dynamical systems IC BĂRBĂCIORU, MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate 33 (1) , 2024 2024 Citations: 1
FUZZY GROUPOIDS VERSUS LEFT INVARIANT FUZZY EQUIVALENCE RELATIONS. MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate , 2023 2023 Citations: 3
Fuzzification and defuzzification of actions in the groupoids framework M Buneci Annals of the “Constantin Brâncuși” University of Târgu-Jiu. Engineering … , 2023 2023 Citations: 4
GENERALIZED ACTIONS–A NEW WAY TO THINK OF GROUPOID MORPHISMS. MR Buneci Annals of'Constantin Brancusi'University of Targu-Jiu. Engineering Series … , 2022 2022
VISUALIZATION TOOLS FOR GROUPOIDS ASSOCIATED TO NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS. MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate , 2022 2022
USING SDV TO OBTAIN RELEVANT REDUCTIONS OF SUBGROUPOIDS OF XxZxX. MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate 27 (1) , 2021 2021 Citations: 1
A NOTE ON NONAUTONOMOUS DISCRETE SYSTEMS IN TERMS OF GROUPOIDS. MR Buneci Annals of'Constantin Brancusi'University of Targu-Jiu. Engineering Series … , 2021 2021 Citations: 1
Fuzzy groupoid morphisms and actions M Buneci Annals of the “Constantin Brâncuși” University of Târgu Jiu. Engineering … , 2020 2020 Citations: 4
GROUPOID MORPHISMS IN TERMS OF ACTIONS. MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate , 2020 2020
A second countable locally compact transitive groupoid without open range map M Buneci Proceedings of the American Mathematical Society 147 (8), 3603-3610 , 2019 2019 Citations: 2
INTUITIONISTIC FUZZY GROUPOIDS AND ACTIONS MR Buneci Annals of Constantin Brâncuşi University of Târgu-Jiu. Engineering Series … , 2019 2019 Citations: 1
MAPLE PROCEDURES FOR ANALYZING THE ACCURACY OF THE APPROXIMATE DEVELOPMENTS OBTAINED USING GORE METHOD. MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate , 2019 2019
Unifying various fuzzy structures using Brandt groupoids M Buneci Fiability & Durability/Fiabilitate si Durabilitate , 2018 2018 Citations: 9
A FEW REMARKS ON LOCALLY COMPACT TOPOLOGIES AND HAAR SYSTEMS. MR BUNECI Fiability & Durability/Fiabilitate si Durabilitate , 2018 2018
FUZZY ACTIONS AS FUZZY GROUPOIDS MR Buneci Annals of Constantin Brâncuşi University of Târgu-Jiu - Engineering Series … , 2018 2018 Citations: 1
Approximations for uniformly continuous functions on groupoids MR Buneci Surveys in Mathematics and its Applications 12, 219-227 , 2017 2017 Citations: 1
MOST CITED SCHOLAR PUBLICATIONS
Morphisms of locally compact groupoids endowed with Haar systems MR Buneci, P Stachura arXiv preprint math/0511613 , 2005 2005 Citations: 31
Reprezentari de grupoizi (Groupoid Representations) MR Buneci Editura Mirton Timisoara , 2003 2003 Citations: 23
Haar systems and homomorphism on groupoids MR Buneci Operator Algebras and Mathematical Physics (Constantza, 2001), Editors J.-M … , 2003 2003 Citations: 23
Groupoid categories MR Buneci Perspectives in Operator Algebras and Mathematical Physics. Theta Ser. Adv … , 2008 2008 Citations: 22
Consequences of Hahn structure theorem for the Haar measure M Buneci Math. Rep.(Bucur.) 4 (54), 321-334 , 2002 2002 Citations: 15
USING MAPLE TO REPRESENT THE SUBGROUPOIDS OF TRIVIAL GROUPOID X× Z× X. MR BUNECI Fiability & Durability/Fiabilitate Si Durabilitate , 2013 2013 Citations: 13
Metode numerice, aspecte teoretice şi practice MR Buneci Editura Academica Brâncuşi, Târgu-Jiu , 2009 2009 Citations: 13
Groupoid reductions associated to discrete dynamical systems MR Buneci Annals of the “Constantin Brâncuşi” University of Târgu-Jiu. Engineering … , 2012 2012 Citations: 12
The structure of the Haar systems on locally compact groupoids MR Buneci Math. Phys. Electron. J 8 (4), 1-11 , 2002 2002 Citations: 12
Morphisms of discrete dynamical systems MR Buneci Discrete and Continuous Dynamical Systems 29 (1), 91-107 , 2010 2010 Citations: 11
Isomorphic groupoid C*-algebras associated with different Haar systems MR Buneci New York Journal of Mathematics 11, 225-245 , 2005 2005 Citations: 10
C*-algebras associated to the transitive groupoids M Buneci An. Univ. Craiova Ser. Mat. Inform 28, 79-92 , 2001 2001 Citations: 10
Unifying various fuzzy structures using Brandt groupoids M Buneci Fiability & Durability/Fiabilitate si Durabilitate , 2018 2018 Citations: 9
The equality of the reduced and the full C*-algebras and the amenability of a topological groupoid MR Buneci Recent Advances in Operator Theory, Operator Algebras, and their … , 2005 2005 Citations: 7
Amenable unitary representations of measured groupoids MR Buneci Revue Roumaine de Mathematiques Pures et Appliquees 48 (2), 129-134 , 2003 2003 Citations: 7
A Urysohn type lemma for groupoids MR Buneci Theory and Applications of Categories 32 (28), 970-994 , 2017 2017 Citations: 6
VARIOUS NOTIONS OF AMENABILITY FOR NOT NECESSARILY LOCALLY COMPACT GROUPOIDS MR Buneci Surveys in Mathematics and its Applications , 2014 2014 Citations: 6
