Definition of Cocountable. Meaning of Cocountable. Synonyms of Cocountable

- In mathematics, a cocountable subset of a set X is a subset Y whose complement in X is a countable set. In other words, Y contains all but countably many...
- The cocountable topology, also known as the countable complement topology, is a topology that can be defined on any infinite set X {\displaystyle X} ...
- the smallest T1 topology on any infinite set. Any set can be given the cocountable topology, in which a set is defined as open if it is either empty or...
- Hausdorff is the cofinite topology defined on an infinite set, as is the cocountable topology defined on an uncountable set. Pseudometric spaces typically...
- The cocountable extension topology is the topology on the real line generated by the union of the usual Euclidean topology and the cocountable topology...
- complement is not finite, but is countable, then one says the set is cocountable. These arise naturally when generalizing structures on finite sets to...
- field of mathematics. Alexandrov topology Cantor space Co-kappa topology Cocountable topology Cofinite topology Compact-open topology Compactification Discrete...
- the smallest T1 topology on any infinite set. Any set can be given the cocountable topology, in which a set is defined as open if it is either empty or...
- subsets are closed, but the reverse is not necessarily true; for the cocountable topology on uncountably many points, the compact sets are all finite...
- Discrete space Locally constant function Trivial topology Cofinite topology Cocountable topology Finer topology Product topology Restricted product Quotient...