Compact space/Related Articles
- See also changes related to Compact space, or pages that link to Compact space or to this page or whose text .
- Topology : A branch of mathematics that studies the properties of objects that are preserved through continuous deformations (such as stretching, bending and compression).
- Topological space : A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets.
- Open set : In geometry and topology, a set that does not contain any of its boundary points.
- Closed set : In geometry and topology, a set that contains its boundary; the complement of an open set.
- Bounded set : A set for which there is a constant C such that the norm of all elements in the set is less than C.
- Heine–Borel theorem : In Euclidean space of finite dimension with the usual topology, a subset is compact if and only if it is closed and bounded.
- Metric space : Any topological space which has a metric defined on it.
- Totally bounded set : A subset of a metric space with the property that for any positive radius it is coveted by a finite union of open balls of given radius.
- Sequentially compact space : A topological space in which every sequence has a convergent subsequence.
- Continuity : Property of a function for which small changes in the argument of the function lead to small changes in the value of the function.
- Extreme value theorem : Add brief definition or description
- Pavel Sergeevich Aleksandrov : Add brief definition or description
- Pavel Samuilovich Urysohn : Add brief definition or description
- : The Cartesian product of compact topological spaces is compact.
- Hausdorff space : Add brief definition or description
- Compactification : A compact space in which a given topological space can be embedded as a dense subset.
- Compactness axioms : Properties of a toplogical space related to compactness.