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Tychonoff plank

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Tychonoff plank

topological space that is used in mathematics as a counterexample to several plausible-sounding conjectures

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About Tychonoff plank

In topology, the Tychonoff plank is a topological space defined using ordinal spaces 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 .

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Facts from Wikidata (CC0).