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- Separating_set abstract "In mathematics a set of functions S from a set D to a set C is called a separating set for D or said to separate the points of D if for any two distinct elements x and y of D, there exists a function f in S so that f(x) ≠ f(y).Separating sets can be used to formulate a version of the Stone-Weierstrass theorem for real-valued functions on a compact Hausdorff space X, with the topology of uniform convergence. It states that any subalgebra of this space of functions is dense if and only if it separates points. This is the version of the theorem originally proved by Marshall H. Stone.".
- Separating_set wikiPageID "13972359".
- Separating_set wikiPageLength "1512".
- Separating_set wikiPageOutDegree "16".
- Separating_set wikiPageRevisionID "636544832".
- Separating_set wikiPageWikiLink Category:Set_theory.
- Separating_set wikiPageWikiLink Compact_Hausdorff_space.
- Separating_set wikiPageWikiLink Compact_space.
- Separating_set wikiPageWikiLink Complex_number.
- Separating_set wikiPageWikiLink Continuous_function.
- Separating_set wikiPageWikiLink Function_(mathematics).
- Separating_set wikiPageWikiLink Identity_function.
- Separating_set wikiPageWikiLink Marshall_H._Stone.
- Separating_set wikiPageWikiLink Marshall_Harvey_Stone.
- Separating_set wikiPageWikiLink Mathematics.
- Separating_set wikiPageWikiLink Normal_space.
- Separating_set wikiPageWikiLink Normal_topological_space.
- Separating_set wikiPageWikiLink Real_number.
- Separating_set wikiPageWikiLink Set_(mathematics).
- Separating_set wikiPageWikiLink Singleton_(mathematics).
- Separating_set wikiPageWikiLink Singleton_set.
- Separating_set wikiPageWikiLink Stone-Weierstrass_theorem.
- Separating_set wikiPageWikiLink Stone–Weierstrass_theorem.
- Separating_set wikiPageWikiLink T1_space.
- Separating_set wikiPageWikiLink Uniform_convergence.
- Separating_set wikiPageWikiLink Urysohns_lemma.
- Separating_set wikiPageWikiLinkText "separate points".
- Separating_set wikiPageWikiLinkText "separates points".
- Separating_set wikiPageWikiLinkText "separating set".
- Separating_set hasPhotoCollection Separating_set.
- Separating_set wikiPageUsesTemplate Template:About.
- Separating_set wikiPageUsesTemplate Template:Mathlogic-stub.
- Separating_set wikiPageUsesTemplate Template:Reflist.
- Separating_set subject Category:Set_theory.
- Separating_set comment "In mathematics a set of functions S from a set D to a set C is called a separating set for D or said to separate the points of D if for any two distinct elements x and y of D, there exists a function f in S so that f(x) ≠ f(y).Separating sets can be used to formulate a version of the Stone-Weierstrass theorem for real-valued functions on a compact Hausdorff space X, with the topology of uniform convergence.".
- Separating_set label "Separating set".
- Separating_set sameAs Punktetrennende_Menge.
- Separating_set sameAs m.03cptyk.
- Separating_set sameAs Q7451799.
- Separating_set sameAs Q7451799.
- Separating_set wasDerivedFrom Separating_set?oldid=636544832.
- Separating_set isPrimaryTopicOf Separating_set.