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- Tychonoff_plank abstract "In topology, the Tychonoff plank is a topological space that is a counterexample to several plausible-sounding conjectures. It is defined as the topological product of the two ordinal spaces and , where is the first infinite ordinal and the first uncountable ordinal.The deleted Tychonoff plank is obtained by deleting the point .The Tychonoff plank is a compact Hausdorff space and is therefore a normal space. However, the deleted Tychonoff plank is non-normal. Therefore the Tychonoff plank is not completely normal. This shows that a subspace of a normal space need not be normal. The Tychonoff plank is not perfectly normal because it is not a Gδ space: the singleton is closed but not a Gδ set.".
- Tychonoff_plank wikiPageID "12589048".
- Tychonoff_plank wikiPageRevisionID "544896688".
- Tychonoff_plank author "Barile, Margherita".
- Tychonoff_plank hasPhotoCollection Tychonoff_plank.
- Tychonoff_plank title "Tychonoff Plank".
- Tychonoff_plank urlname "TychonoffPlank".
- Tychonoff_plank subject Category:Topological_spaces.
- Tychonoff_plank type Abstraction100002137.
- Tychonoff_plank type Attribute100024264.
- Tychonoff_plank type Cognition100023271.
- Tychonoff_plank type Example105820620.
- Tychonoff_plank type Information105816287.
- Tychonoff_plank type MathematicalExamples.
- Tychonoff_plank type MathematicalSpace108001685.
- Tychonoff_plank type PsychologicalFeature100023100.
- Tychonoff_plank type Set107999699.
- Tychonoff_plank type Space100028651.
- Tychonoff_plank type TopologicalSpaces.
- Tychonoff_plank comment "In topology, the Tychonoff plank is a topological space that is a counterexample to several plausible-sounding conjectures. It is defined as the topological product of the two ordinal spaces and , where is the first infinite ordinal and the first uncountable ordinal.The deleted Tychonoff plank is obtained by deleting the point .The Tychonoff plank is a compact Hausdorff space and is therefore a normal space. However, the deleted Tychonoff plank is non-normal.".
- Tychonoff_plank label "Planche de Tychonoff".
- Tychonoff_plank label "Tichonow-Planke".
- Tychonoff_plank label "Tychonoff plank".
- Tychonoff_plank sameAs Tichonow-Planke.
- Tychonoff_plank sameAs Planche_de_Tychonoff.
- Tychonoff_plank sameAs m.02wwypn.
- Tychonoff_plank sameAs Q250509.
- Tychonoff_plank sameAs Q250509.
- Tychonoff_plank sameAs Tychonoff_plank.
- Tychonoff_plank wasDerivedFrom Tychonoff_plank?oldid=544896688.
- Tychonoff_plank isPrimaryTopicOf Tychonoff_plank.