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- Stone–Čech_compactification abstract "In the mathematical discipline of general topology, Stone–Čech compactification is a technique for constructing a universal map from a topological space X to a compact Hausdorff space βX. The Stone–Čech compactification βX of a topological space X is the largest compact Hausdorff space "generated" by X, in the sense that any map from X to a compact Hausdorff space factors through βX (in a unique way). If X is a Tychonoff space then the map from X to its image in βX is a homeomorphism, so X can be thought of as a (dense) subspace of βX. For general topological spaces X, the map from X to βX need not be injective. A form of the axiom of choice is required to prove that every topological space has a Stone–Čech compactification. Even for quite simple spaces X, an accessible concrete description of βX often remains elusive. In particular, proofs that βN \ N is nonempty do not give an explicit description of any particular point in βN \ N.The Stone–Čech compactification occurs implicitly in a paper by Tychonoff (1930) and was given explicitly by Marshall Stone (1937) and Eduard Čech (1937).".
- Stone–Čech_compactification thumbnail Stone–Cech_compactification.png?width=300.
- Stone–Čech_compactification wikiPageID "52897".
- Stone–Čech_compactification wikiPageRevisionID "605817151".
- Stone–Čech_compactification authorlink "Eduard Čech".
- Stone–Čech_compactification authorlink "Marshall Stone".
- Stone–Čech_compactification first "Eduard".
- Stone–Čech_compactification first "I.G.".
- Stone–Čech_compactification first "Marshall".
- Stone–Čech_compactification id "S/s090340".
- Stone–Čech_compactification last "Koshevnikova".
- Stone–Čech_compactification last "Stone".
- Stone–Čech_compactification last "Čech".
- Stone–Čech_compactification txt "yes".
- Stone–Čech_compactification year "1937".
- Stone–Čech_compactification subject Category:Compactification.
- Stone–Čech_compactification subject Category:General_topology.
- Stone–Čech_compactification comment "In the mathematical discipline of general topology, Stone–Čech compactification is a technique for constructing a universal map from a topological space X to a compact Hausdorff space βX. The Stone–Čech compactification βX of a topological space X is the largest compact Hausdorff space "generated" by X, in the sense that any map from X to a compact Hausdorff space factors through βX (in a unique way).".
- Stone–Čech_compactification label "Compactification de Stone-Čech".
- Stone–Čech_compactification label "Compattificazione di Stone-Čech".
- Stone–Čech_compactification label "Stone-Čech-Kompaktifizierung".
- Stone–Čech_compactification label "Stone-Čech-compactificatie".
- Stone–Čech_compactification label "Stone–Čech compactification".
- Stone–Čech_compactification label "Uzwarcenie Čecha-Stone'a".
- Stone–Čech_compactification label "Компактификация Стоуна — Чеха".
- Stone–Čech_compactification label "斯通-切赫緊化".
- Stone–Čech_compactification sameAs Stone%E2%80%93%C4%8Cech_compactification.
- Stone–Čech_compactification sameAs Stone-Čech-Kompaktifizierung.
- Stone–Čech_compactification sameAs Compactification_de_Stone-Čech.
- Stone–Čech_compactification sameAs Compattificazione_di_Stone-Čech.
- Stone–Čech_compactification sameAs Stone-Čech-compactificatie.
- Stone–Čech_compactification sameAs Uzwarcenie_Čecha-Stone'a.
- Stone–Čech_compactification sameAs Q2033899.
- Stone–Čech_compactification sameAs Q2033899.
- Stone–Čech_compactification wasDerivedFrom Stone–Čech_compactification?oldid=605817151.
- Stone–Čech_compactification depiction Stone–Cech_compactification.png.