metrization theorems造句
例句與造句
- For a closely related theorem see the Bing metrization theorem.
- Several other metrization theorems follow as simple corollaries to Urysohn's Theorem.
- The Nagata Smirnov metrization theorem extends this to the non-separable case.
- Moore spaces are generally interesting in mathematics because they may be applied to prove interesting metrization theorems.
- I want to prove the following version of the Urysohn metrization theorem : A Hausdorff space is metrisable.
- It's difficult to find metrization theorems in a sentence. 用metrization theorems造句挺難的
- There are numerous characterizations that tell when a second-countable topological space is metrizable, such as Urysohn's metrization theorem.
- His name is attached to the Nagata Smirnov metrization theorem, which was proved independently by Nagata in 1950 and by Smirnov in 1951.
- In one direction a compact Hausdorff space is a normal space and, by the Urysohn metrization theorem, second-countable then implies metrizable.
- Unlike Urysohn's metrization theorem, which provides only a sufficient condition for metrizability, this theorem provides both a necessary and sufficient condition for a topological space to be metrizable.
- such that the topology induced by " d " is \ tau . "'Metrization theorems "'are theorems that give sufficient conditions for a topological space to be metrizable.
- such that the topology induced by " d " is \ mathcal { T } . "'Metrization theorems "'are theorems that give sufficient conditions for a topological space to be metrizable.
- If " X " were countable, " X " would be Lindelof and thus normal ( every regular Lindelof space is normal; suprisingly, this was unnoticed by Urysohn when he proved Urysohn's metrization theorem ! ).