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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logic, an effectivePolishspace is a complete separable metric space that has a computable presentation. Such spaces are studied in effective descriptive...
(Moschovakis 1980). Thus effective descriptive set theory combines descriptive set theory with recursion theory. An effectivePolishspace is a complete separable...
an effectivePolishspace. It is closely related to the hyperarithmetical hierarchy. The lightface Borel hierarchy can be defined on any effective Polish...
mathematical field of descriptive set theory, a subset A {\displaystyle A} of a Polishspace X {\displaystyle X} is projective if it is Σ n 1 {\displaystyle {\boldsymbol...
Polishspace. (This is not the same as an analytical set) analytical The analytical hierarchy is a hierarchy of subsets of an effectivePolishspace (such...
hierarchy can be defined on any effectivePolishspace; the definition is particularly simple for Cantor and Baire space because they fit with the language...
certain classes of "well-behaved" subsets of the real line and other Polishspaces. As well as being one of the primary areas of research in set theory...
Baire space or Cantor space, using formulas with several free variables. The arithmetical hierarchy can be defined on any effectivePolishspace; the definition...
Soviet space program was difficult because of political censorship, but there were notable cases of criticism in Polish scientific circles. A Polish scientific...
such as countable rings, groups, and fields, as well as points in effectivePolishspaces, can be represented as sets of natural numbers, and modulo this...
The Polish Army Stadium (Polish: Stadion Wojska Polskiego, pronounced [ˌstadjɔn ˌvɔjska pɔlˈskʲɛɡɔ]), official named the Marshall Józef Piłsudski Legia...
British Poles, alternatively known as Polish British people or Polish Britons, are ethnic Poles who are citizens of the United Kingdom. The term includes...
Ukraine. As a casus belli for the conquest and colonisation of Polish territories as living-space and defensive-border for Imperial Germany, the Septemberprogramm...
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...
The James Webb Space Telescope (JWST) is a space telescope designed to conduct infrared astronomy. Its high-resolution and high-sensitivity instruments...
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...
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...
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...
Austria as a final division of territory that resulted in the effective dissolution of the Polish–Lithuanian Commonwealth. King Stanisław August Poniatowski...
the Partitions of Poland (1772–1795). Etymologically, the 19th-century Polish intellectual Bronisław Trentowski coined the term inteligencja (intellectuals)...
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...
concluded that learning with Wikipedia in flipped classrooms was more effective than in conventional classrooms, demonstrating Wikipedia could be used...
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....
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...
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...