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Ljubisa D.R. Kocinac
Ljubisa Dragi Rosanda Kocinac (born in Serbia in January 1947) is a mathematician and currently a Professor Emeritus at the University of Niš, Serbia. Biography He completed his PhD, focused on cardinal functions, at the University of Belgrade in 1983, under the supervision of Đuro Kurepa. Kocinac has published over 160 papers and four books in topology, real analysis and fields of sets. He has actively promoted research on selection principles, as a fruitful collaborator and as an organizer of the first conferences in a series of international workshops titled ''Coverings, Selections and Games in Topology''. The fourth of this series, held in Caserta, Italy, in June 2012 was dedicated to him on the occasion of his sixty-fifth birthday. His research interests include aspects of topology, especially selection principles, topological games and coverings of topological spaces, and mathematical analysis. In particular, he introduced star selection principle In mathematics, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Serbia
Serbia (, ; Serbian language, Serbian: , , ), officially the Republic of Serbia (Serbian language, Serbian: , , ), is a landlocked country in Southeast Europe, Southeastern and Central Europe, situated at the crossroads of the Pannonian Basin and the Balkans. It shares land borders with Hungary to the north, Romania to the northeast, Bulgaria to the southeast, North Macedonia to the south, Croatia and Bosnia and Herzegovina to the west, and Montenegro to the southwest, and claims a border with Albania through the Political status of Kosovo, disputed territory of Kosovo. Serbia without Kosovo has about 6.7 million inhabitants, about 8.4 million if Kosvo is included. Its capital Belgrade is also the List of cities in Serbia, largest city. Continuously inhabited since the Paleolithic Age, the territory of modern-day Serbia faced Slavs#Migrations, Slavic migrations in the 6th century, establishing several regional Principality of Serbia (early medieval), states in the early Mid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Caserta
Caserta () is the capital of the province of Caserta in the Campania region of Italy. It is an important agricultural, commercial, and industrial ''comune'' and city. Caserta is located on the edge of the Campanian plain at the foot of the Campanian Subapennine mountain range. The city is best known for the Royal Palace of Caserta. History Anciently inhabited by Osco- Samnite tribes, modern Caserta was established around the defensive tower built in Lombard times by Pando, Prince of Capua. Pando destroyed the original city around 863. The tower is now part of the Palazzo della Prefettura that was once the seat of the counts of Caserta, as well as a royal residence. The original population moved from Casertavecchia (former bishopric seat) to the current site in the sixteenth century. Casertavecchia was built on the Roman town of ''Casa Irta'', meaning "home village located above" and later contracted as "Caserta". The city and vicinity were the property of the Acquaviva fam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Belgrade Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Staff Of The University Of Niš
An academy ( Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, '' Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Serbian Mathematicians
Serbian may refer to: * someone or something related to Serbia, a country in Southeastern Europe * someone or something related to the Serbs, a South Slavic people * Serbian language * Serbian names See also * * * Old Serbian (other) * Serbians * Serbia (other) * Names of the Serbs and Serbia Names of the Serbs and Serbia are terms and other designations referring to general terminology and nomenclature on the Serbs ( sr, Срби, Srbi, ) and Serbia ( sr, Србија/Srbija, ). Throughout history, various endonyms and exonyms have bee ... {{Disambiguation Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cover (topology)
In mathematics, and more particularly in set theory, a cover (or covering) of a set X is a collection of subsets of X whose union is all of X. More formally, if C = \lbrace U_\alpha : \alpha \in A \rbrace is an indexed family of subsets U_\alpha\subset X, then C is a cover of X if \bigcup_U_ = X. Thus the collection \lbrace U_\alpha : \alpha \in A \rbrace is a cover of X if each element of X belongs to at least one of the subsets U_. Cover in topology Covers are commonly used in the context of topology. If the set X is a topological space, then a ''cover'' C of X is a collection of subsets \_ of X whose union is the whole space X. In this case we say that C ''covers'' X, or that the sets U_\alpha ''cover'' X. Also, if Y is a (topological) subspace of X, then a ''cover'' of Y is a collection of subsets C=\_ of X whose union contains Y, i.e., C is a cover of Y if :Y \subseteq \bigcup_U_. That is, we may cover Y with either open sets in Y itself, or cover Y by open sets in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Game
In mathematics, a topological game is an infinite game of perfect information played between two players on a topological space. Players choose objects with topological properties such as points, open sets, closed sets and open coverings. Time is generally discrete, but the plays may have transfinite lengths, and extensions to continuum time have been put forth. The conditions for a player to win can involve notions like topological closure and convergence. It turns out that some fundamental topological constructions have a natural counterpart in topological games; examples of these are the Baire property, Baire spaces, completeness and convergence properties, separation properties, covering and base properties, continuous images, Suslin sets, and singular spaces. At the same time, some topological properties that arise naturally in topological games can be generalized beyond a game-theoretic context: by virtue of this duality, topological games have been widely used to describ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Selection Principle
In mathematics, a selection principle is a rule asserting the possibility of obtaining mathematically significant objects by selecting elements from given sequences of sets. The theory of selection principles studies these principles and their relations to other mathematical properties. Selection principles mainly describe covering properties, measure- and category-theoretic properties, and local properties in topological spaces, especially function spaces. Often, the characterization of a mathematical property using a selection principle is a nontrivial task leading to new insights on the characterized property. The main selection principles In 1924, Karl Menger introduced the following basis property for metric spaces: Every basis of the topology contains a sequence of sets with vanishing diameters that covers the space. Soon thereafter, Witold Hurewicz observed that Menger's basis property is equivalent to the following selective property: for every sequence of ope ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Niš
The University of Niš ( sr, Универзитет у Нишу, Univerzitet u Nišu) is a public university in Serbia. It was founded in 1965 and consists of 13 faculties with 1,492 academic staff and around 20,500 students (as of 2018–19 school year). Since its founding, the university diploma has been acquired by more than 50,000 students, including 1,300 foreigners. It has a university library "Nikola Tesla"; the Faculty of Technology is located in Leskovac, Pedagogy Faculty in Vranje and Agriculture Faculty in Kruševac. History The University of Niš was incorporated as an independent degree-granting institution on 15 June 1965. In 1960 the first undergraduate programs commenced in Niš under the academic patronage of the University of Belgrade. They were institutionalized as the faculties of Law & Economics, Medicine, and Engineering. The university started its independent life with 234 full-time teaching staff and 6,800 students. Timeline *1968: the Department of E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Field Of Sets
In mathematics, a field of sets is a mathematical structure consisting of a pair ( X, \mathcal ) consisting of a set X and a family \mathcal of subsets of X called an algebra over X that contains the empty set as an element, and is closed under the operations of taking complements in X, finite unions, and finite intersections. Fields of sets should not be confused with fields in ring theory nor with fields in physics. Similarly the term "algebra over X" is used in the sense of a Boolean algebra and should not be confused with algebras over fields or rings in ring theory. Fields of sets play an essential role in the representation theory of Boolean algebras. Every Boolean algebra can be represented as a field of sets. Definitions A field of sets is a pair ( X, \mathcal ) consisting of a set X and a family \mathcal of subsets of X, called an algebra over X, that has the following properties: : X \setminus F \in \mathcal for all F \in \mathcal. as an element: \varnothin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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