Basic concepts in infinite set theory | General topology

Cofiniteness

In mathematics, a cofinite subset of a set is a subset whose complement in is a finite set. In other words, contains all but finitely many elements of If the complement is not finite, but it is countable, then one says the set is cocountable. These arise naturally when generalizing structures on finite sets to infinite sets, particularly on infinite products, as in the or . This use of the prefix "co" to describe a property possessed by a set's complement is consistent with its use in other terms such as "comeagre set". (Wikipedia).

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From playlist Topology

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Related pages

Irreducible component | Topological space | Counterexamples in Topology | Finite set | Zariski topology | Direct sum of modules | Hyperconnected space | T1 space | Subbase | Comparison of topologies | Polynomial | Complement (set theory) | Ultrafilter | Empty set | Hausdorff space | Direct product | Mathematics | Field (mathematics) | Intersection | Subset | Even number | Compact space | Regular space | Algebraic curve | Subspace topology | Normal space | Discrete space | Box topology | Product topology | Open set | Boolean algebra (structure)