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Effective Polish space information


In mathematical logic, an effective Polish space is a complete separable metric space that has a computable presentation. Such spaces are studied in effective descriptive set theory and in constructive analysis. In particular, standard examples of Polish spaces such as the real line, the Cantor set and the Baire space are all effective Polish spaces.

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Effective Polish space

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logic, an effective Polish space is a complete separable metric space that has a computable presentation. Such spaces are studied in effective descriptive...

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Effective descriptive set theory

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(Moschovakis 1980). Thus effective descriptive set theory combines descriptive set theory with recursion theory. An effective Polish space is a complete separable...

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Borel hierarchy

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an effective Polish space. It is closely related to the hyperarithmetical hierarchy. The lightface Borel hierarchy can be defined on any effective Polish...

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Projective hierarchy

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mathematical field of descriptive set theory, a subset A {\displaystyle A} of a Polish space X {\displaystyle X} is projective if it is Σ n 1 {\displaystyle {\boldsymbol...

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Glossary of set theory

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Polish space. (This is not the same as an analytical set) analytical The analytical hierarchy is a hierarchy of subsets of an effective Polish space (such...

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Analytical hierarchy

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hierarchy can be defined on any effective Polish space; the definition is particularly simple for Cantor and Baire space because they fit with the language...

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Descriptive set theory

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certain classes of "well-behaved" subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory...

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Arithmetical hierarchy

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Baire space or Cantor space, using formulas with several free variables. The arithmetical hierarchy can be defined on any effective Polish space; the definition...

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Laika

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Soviet space program was difficult because of political censorship, but there were notable cases of criticism in Polish scientific circles. A Polish scientific...

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Reverse mathematics

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such as countable rings, groups, and fields, as well as points in effective Polish spaces, can be represented as sets of natural numbers, and modulo this...

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Polish Army Stadium

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The Polish Army Stadium (Polish: Stadion Wojska Polskiego, pronounced [ˌstadjɔn ˌvɔjska pɔlˈskʲɛɡɔ]), official named the Marshall Józef Piłsudski Legia...

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Poles in the United Kingdom

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British Poles, alternatively known as Polish British people or Polish Britons, are ethnic Poles who are citizens of the United Kingdom. The term includes...

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Lebensraum

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Ukraine. As a casus belli for the conquest and colonisation of Polish territories as living-space and defensive-border for Imperial Germany, the Septemberprogramm...

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Hubble Space Telescope

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The Hubble Space Telescope (often referred to as HST or Hubble) is a space telescope that was launched into low Earth orbit in 1990 and remains in operation...

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James Webb Space Telescope

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The James Webb Space Telescope (JWST) is a space telescope designed to conduct infrared astronomy. Its high-resolution and high-sensitivity instruments...

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Timeline of Polish science and technology

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becomes a member the European Space Agency (2012). PW-Sat, the first Polish satellite was launched into space (2012); other Polish satellites include Lem and...

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List of Polish inventors and discoverers

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This is a list of Polish inventors and discoverers. The following incomplete list comprises people from Poland and of Polish origin, and also people of...

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List of largest optical reflecting telescopes

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can be a poor measure of a telescope's performance. Space-based telescopes, such as the Hubble Space Telescope, take advantage of being above the Earth's...

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History of Poland

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Austria as a final division of territory that resulted in the effective dissolution of the Polish–Lithuanian Commonwealth. King Stanisław August Poniatowski...

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Intelligentsia

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the Partitions of Poland (1772–1795). Etymologically, the 19th-century Polish intellectual Bronisław Trentowski coined the term inteligencja (intellectuals)...

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Great Turkish War

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of the army and the short space of only six days, an effective leadership structure was established, centred on the Polish king and his Hussars. The Holy...

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Wikipedia

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concluded that learning with Wikipedia in flipped classrooms was more effective than in conventional classrooms, demonstrating Wikipedia could be used...

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List of The Bill episodes

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star Stuart Urban Russell Lewis 30 October 1990 (1990-10-30) 275 88 "Effective Persuaders" Ron Donachie and Tony Rohr guest star Nick Laughland J.C....

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Outer Space Treaty

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The Outer Space Treaty, formally the Treaty on Principles Governing the Activities of States in the Exploration and Use of Outer Space, including the Moon...

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Marshall Space Flight Center

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needed] Effective at the end of March 1958, the U.S. Army Ordnance Missile Command (AOMC), encompassing the ABMA and its newly operational space programs...

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