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- Polish_space abstract "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. Polish spaces are so named because they were first extensively studied by Polish topologists and logicians — Sierpiński, Kuratowski, Tarski and others. However, Polish spaces are primarily studied today because they are the primary setting for descriptive set theory, including the study of Borel equivalence relations.Common examples of Polish spaces are the real line, any separable Banach space, the Cantor space, and Baire space. Additionally, some spaces that are not complete metric spaces in the usual metric may be Polish; e.g., the open interval (0, 1) is Polish.Between any two uncountable Polish spaces, there is a Borel isomorphism; that is, a bijection that preserves the Borel structure. In particular, every uncountable Polish space has the cardinality of the continuum.Lusin spaces, Suslin spaces, and Radon spaces are generalizations of Polish spaces.".
- Polish_space wikiPageID "396622".
- Polish_space wikiPageRevisionID "604237659".
- Polish_space date "February 2014".
- Polish_space hasPhotoCollection Polish_space.
- Polish_space reason "typo for "Borel"?".
- Polish_space subject Category:Descriptive_set_theory.
- Polish_space subject Category:General_topology.
- Polish_space subject Category:Science_and_technology_in_Poland.
- Polish_space comment "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. Polish spaces are so named because they were first extensively studied by Polish topologists and logicians — Sierpiński, Kuratowski, Tarski and others.".
- Polish_space label "Espace polonais".
- Polish_space label "Polish space".
- Polish_space label "Polnischer Raum".
- Polish_space label "Poolse ruimte".
- Polish_space label "Przestrzeń polska".
- Polish_space label "Spazio polacco".
- Polish_space label "ポーランド空間".
- Polish_space sameAs Polnischer_Raum.
- Polish_space sameAs Espace_polonais.
- Polish_space sameAs Spazio_polacco.
- Polish_space sameAs ポーランド空間.
- Polish_space sameAs 폴란드_공간.
- Polish_space sameAs Poolse_ruimte.
- Polish_space sameAs Przestrzeń_polska.
- Polish_space sameAs m.023cmf.
- Polish_space sameAs Q1207972.
- Polish_space sameAs Q1207972.
- Polish_space wasDerivedFrom Polish_space?oldid=604237659.
- Polish_space isPrimaryTopicOf Polish_space.