# Continuity/Related Articles

From Citizendium, the Citizens' Compendium

*See also changes related to Continuity, or pages that link to Continuity or to this page or whose text contains "Continuity".*

## Parent topics

- Real analysis [r]:
*Add brief definition or description* - Topology [r]: A branch of mathematics that studies the properties of objects that are preserved through continuous deformations (such as stretching, bending and compression).
^{[e]} - Function [r]: A rule which maps each object in a given set to a uniquely defined object in another set.
^{[e]}

- Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets.
^{[e]} - Limit of a function [r]: Mathematical concept used to describe the behavior of a function as its argument either "gets close" to some point, or as it becomes arbitrarily large.
^{[e]} - Semi-continuity [r]:
*Add brief definition or description* - Sequential continuity [r]:
*Add brief definition or description* - Open function [r]:
*Add brief definition or description* - Intermediate value theorem [r]:
*Add brief definition or description* - Hölder continuity [r]:
*Add brief definition or description* - Differentiability [r]: The property of functions that have a well-defined derivative.
^{[e]} - Homeomorphism [r]: A function that maps one topological space to another with the property that it is bijective and both the function and its inverse are continuous with respect to the associated topologies.
^{[e]} - Compact set [r]: A toplogical space for which every covering with open sets has a finite subcovering.
^{[e]} - Connected set [r]:
*Add brief definition or description* - Uniform continuity [r]:
*Add brief definition or description*