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69 relations: Alfred Tarski, Analytic function, Andrzej Mostowski, Austria, Axiom, Barrister, Charles Jean de la Vallée Poussin, Continuum (set theory), Czechoslovak Academy of Sciences, Edinburgh, Education in Poland during World War II, Finite set, Fundamenta Mathematicae, Germany, Graph theory, Hungary, Italy, Józef H. Przytycki, Kingdom of Poland, Kuratowski and Ryll-Nardzewski measurable selection theorem, Kuratowski closure axioms, Kuratowski's closure-complement problem, Kuratowski's free set theorem, Kuratowski's theorem, Kuratowski–Ulam theorem, Logic, Lviv, Lviv Polytechnic, Lwów School of Mathematics, Mariusz Lemańczyk, Mathematician, Mathematics, Measure (mathematics), Mikołaj Bojańczyk, Occupation of Poland (1939–1945), Ordered pair, Pergamon Press, Planar graph, Poland, Polish Academy of Learning, Polish Academy of Sciences, Polish language, Polish Mathematical Society, Polish space, Russian Empire, Samuel Eilenberg, Scotland, Scottish Book, Scottish Café, Second Polish Republic, ..., Soviet Union, Stanislaw Ulam, Stefan Banach, Stefan Mazurkiewicz, Tarski–Kuratowski algorithm, Tomasz Łuczak, Topological space, Topology, University of Glasgow, University of Warsaw, Vistula Land, Wacław Sierpiński, Warsaw, Warsaw School (mathematics), Warsaw Scientific Society, Wojciech Samotij, World War I, Zorn's lemma, Zygmunt Janiszewski. Expand index (19 more) »
Alfred Tarski
Alfred Tarski (January 14, 1901 – October 26, 1983), born Alfred Teitelbaum,School of Mathematics and Statistics, University of St Andrews,, School of Mathematics and Statistics, University of St Andrews.
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Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
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Andrzej Mostowski
Andrzej Mostowski (1 November 1913 – 22 August 1975) was a Polish mathematician.
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Austria
Austria (Österreich), officially the Republic of Austria (Republik Österreich), is a federal republic and a landlocked country of over 8.8 million people in Central Europe.
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Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
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Barrister
A barrister (also known as barrister-at-law or bar-at-law) is a type of lawyer in common law jurisdictions.
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Charles Jean de la Vallée Poussin
Charles-Jean Étienne Gustave Nicolas Le Vieux, Baron de la Vallée Poussin (14 August 1866 – 2 March 1962) was a Belgian mathematician.
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Continuum (set theory)
In the mathematical field of set theory, the continuum means the real numbers, or the corresponding (infinite) cardinal number, \mathfrak.
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Czechoslovak Academy of Sciences
The Czechoslovak Academy of Sciences (Czech: Československá akademie věd, Slovak: Česko-slovenská akadémia vied) was established in 1953 to be the scientific center for Czechoslovakia.
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Edinburgh
Edinburgh (Dùn Èideann; Edinburgh) is the capital city of Scotland and one of its 32 council areas.
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Education in Poland during World War II
World War II saw the cultivation of underground education in Poland (Tajne szkolnictwo, or tajne komplety).
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Finite set
In mathematics, a finite set is a set that has a finite number of elements.
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Fundamenta Mathematicae
Fundamenta Mathematicae is a peer-reviewed scientific journal of mathematics with a special focus on the foundations of mathematics, concentrating on set theory, mathematical logic, topology and its interactions with algebra, and dynamical systems.
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Germany
Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.
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Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
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Hungary
Hungary (Magyarország) is a country in Central Europe that covers an area of in the Carpathian Basin, bordered by Slovakia to the north, Ukraine to the northeast, Austria to the northwest, Romania to the east, Serbia to the south, Croatia to the southwest, and Slovenia to the west.
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Italy
Italy (Italia), officially the Italian Republic (Repubblica Italiana), is a sovereign state in Europe.
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Józef H. Przytycki
Józef Henryk Przytycki (born October 1953 in Warsaw, Poland), is a mathematician specializing in the fields of knot theory and topology.
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Kingdom of Poland
"Kingdom of Poland" (Polish: Królestwo Polskie, Latin: Regnum Poloniae) was the name of Poland under a series of former monarchial governments, from c.1000/1025 CE to 1795.
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Kuratowski and Ryll-Nardzewski measurable selection theorem
In mathematics, the Kuratowski–Ryll-Nardzewski measurable selection theorem is a result from measure theory that gives a sufficient condition for a multifunction to have a measurable selection.
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Kuratowski closure axioms
In topology and related branches of mathematics, the Kuratowski closure axioms are a set of axioms that can be used to define a topological structure on a set.
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Kuratowski's closure-complement problem
In point-set topology, Kuratowski's closure-complement problem asks for the largest number of distinct sets obtainable by repeatedly applying the set operations of closure and complement to a given starting subset of a topological space.
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Kuratowski's free set theorem
Kuratowski's free set theorem, named after Kazimierz Kuratowski, is a result of set theory, an area of mathematics.
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Kuratowski's theorem
In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski.
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Kuratowski–Ulam theorem
In mathematics, the Kuratowski–Ulam theorem, introduced by, called also Fubini theorem for categories, is an analog of the Fubini's theorem for arbitrary second countable Baire spaces.
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Logic
Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.
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Lviv
Lviv (Львів; Львов; Lwów; Lemberg; Leopolis; see also other names) is the largest city in western Ukraine and the seventh-largest city in the country overall, with a population of around 728,350 as of 2016.
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Lviv Polytechnic
Lviv Polytechnic National University (Національний університет "Львівська політехніка") is the largest scientific university in Lviv.
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Lwów School of Mathematics
The Lwów school of mathematics (lwowska szkoła matematyczna) was a group of Polish mathematicians who worked between the two World Wars in Lwów, Poland (since 1945 Lviv, Ukraine).
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Mariusz Lemańczyk
Mariusz Tomasz Lemańczyk is a Polish mathematician known for his contributions in ergodic theory and dynamical systems.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Measure (mathematics)
In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.
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Mikołaj Bojańczyk
Mikołaj Bojańczyk (born 1977) is a Polish theoretical computer scientist and logician known for settling major open problems on tree walking automata jointly with Thomas Colcombet, and for numerous contributions to logic in automata theory.
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Occupation of Poland (1939–1945)
The occupation of Poland by Nazi Germany and the Soviet Union during the Second World War (1939–1945) began with the German-Soviet invasion of Poland in September 1939, and it was formally concluded with the defeat of Germany by the Allies in May 1945.
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Ordered pair
In mathematics, an ordered pair (a, b) is a pair of objects.
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Pergamon Press
Pergamon Press was an Oxford-based publishing house, founded by Paul Rosbaud and Robert Maxwell, which published scientific and medical books and journals.
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Planar graph
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.
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Poland
Poland (Polska), officially the Republic of Poland (Rzeczpospolita Polska), is a country located in Central Europe.
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Polish Academy of Learning
The Polish Academy of Arts and Sciences or Polish Academy of Learning (Polska Akademia Umiejętności), headquartered in Kraków, is one of two institutions in contemporary Poland having the nature of an academy of sciences.
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Polish Academy of Sciences
The Polish Academy of Sciences (Polska Akademia Nauk, PAN) is a Polish state-sponsored institution of higher learning.
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Polish language
Polish (język polski or simply polski) is a West Slavic language spoken primarily in Poland and is the native language of the Poles.
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Polish Mathematical Society
The Polish Mathematical Society (Polskie Towarzystwo Matematyczne) began in Kraków, Poland in 1917.
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Polish space
In the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset.
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Russian Empire
The Russian Empire (Российская Империя) or Russia was an empire that existed across Eurasia and North America from 1721, following the end of the Great Northern War, until the Republic was proclaimed by the Provisional Government that took power after the February Revolution of 1917.
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Samuel Eilenberg
Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-born American mathematician who co-founded category theory with Saunders Mac Lane.
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Scotland
Scotland (Alba) is a country that is part of the United Kingdom and covers the northern third of the island of Great Britain.
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Scottish Book
The Scottish Book (Księga Szkocka) was a thick notebook used by mathematicians of the Lwów School of Mathematics in Poland for jotting down problems meant to be solved.
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Scottish Café
The Scottish Café (Kawiarnia Szkocka) was the café in Lwów, Poland (now Lviv, Ukraine) where, in the 1930s and 1940s, mathematicians from the Lwów School collaboratively discussed research problems, particularly in functional analysis and topology.
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Second Polish Republic
The Second Polish Republic, commonly known as interwar Poland, refers to the country of Poland between the First and Second World Wars (1918–1939).
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Soviet Union
The Soviet Union, officially the Union of Soviet Socialist Republics (USSR) was a socialist state in Eurasia that existed from 1922 to 1991.
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Stanislaw Ulam
Stanisław Marcin Ulam (13 April 1909 – 13 May 1984) was a Polish-American scientist in the fields of mathematics and nuclear physics.
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Stefan Banach
Stefan Banach (30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians.
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Stefan Mazurkiewicz
Stefan Mazurkiewicz (25 September 1888 – 19 June 1945) was a Polish mathematician who worked in mathematical analysis, topology, and probability.
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Tarski–Kuratowski algorithm
In computability theory and mathematical logic the Tarski–Kuratowski algorithm is a non-deterministic algorithm which provides an upper bound for the complexity of formulas in the arithmetical hierarchy and analytical hierarchy.
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Tomasz Łuczak
Tomasz Łuczak (born 13 March 1963 in Poznań) is a Polish mathematician and professor at Adam Mickiewicz University in Poznań and Emory University.
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Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
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Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
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University of Glasgow
The University of Glasgow (Oilthigh Ghlaschu; Universitas Glasguensis; abbreviated as Glas. in post-nominals) is the fourth-oldest university in the English-speaking world and one of Scotland's four ancient universities.
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University of Warsaw
The University of Warsaw (Uniwersytet Warszawski, Universitas Varsoviensis), established in 1816, is the largest university in Poland.
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Vistula Land
Vistula Land or Vistula Country (Привислинский край, Privislinsky krai; Kraj Nadwiślański) was the name applied to the former lands of Congress Poland from the 1880s, following the defeats of the November Uprising (1830–31) and January Uprising (1863-1864) as it was increasingly stripped of autonomy and incorporated into Imperial Russia.
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Wacław Sierpiński
Wacław Franciszek Sierpiński (14 March 1882 – 21 October 1969) was a Polish mathematician.
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Warsaw
Warsaw (Warszawa; see also other names) is the capital and largest city of Poland.
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Warsaw School (mathematics)
Warsaw School of Mathematics is the name given to a group of mathematicians who worked at Warsaw, Poland, in the two decades between the World Wars, especially in the fields of logic, set theory, point-set topology and real analysis.
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Warsaw Scientific Society
Warsaw Scientific Society (Polish: Towarzystwo Naukowe Warszawskie; TNW) is a Polish scientific society based in Warsaw.
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Wojciech Samotij
Wojciech Samotij is a Polish mathematician who works in combinatorics, additive number theory, Ramsey theory and graph theory.
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World War I
World War I (often abbreviated as WWI or WW1), also known as the First World War, the Great War, or the War to End All Wars, was a global war originating in Europe that lasted from 28 July 1914 to 11 November 1918.
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Zorn's lemma
Zorn's lemma, also known as the Kuratowski–Zorn lemma, after mathematicians Max Zorn and Kazimierz Kuratowski, is a proposition of set theory that states that a partially ordered set containing upper bounds for every chain (that is, every totally ordered subset) necessarily contains at least one maximal element.
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Zygmunt Janiszewski
Zygmunt Janiszewski (June 12, 1888 – January 3, 1920) was a Polish mathematician.
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Redirects here:
Casimir Kuratowski, Kuratowski.
References
[1] https://en.wikipedia.org/wiki/Kazimierz_Kuratowski
