extremally disconnected वाक्य
उदाहरण वाक्य
मोबाइल
- An extremally disconnected first countable collectionwise Hausdorff space must be discrete.
- An extremally disconnected space that is also Boolean algebras, the Stonean spaces correspond to the complete Boolean algebras.
- It follows from this result that no infinite ?-adic Hausdorff space can be an extremally disconnected space.
- As topological spaces, all the ordinals are extremally disconnected in general ( there are open sets, for example the even numbers from ?, whose closure is not open ).
- In particular, for metric spaces, the property of being extremally disconnected ( the closure of every open set is open ) is equivalent to the property of being discrete ( every set is open ).
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