Continuity/Related Articles

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

Cognitive science [r]: The scientific study either of mind or intelligence and includes parts of cognitive psychology, linguistics and computer science. ^[e]
Product topology [r]: Topology on a product of topological spaces whose open sets are constructed from cartesian products of open sets from the individual spaces. ^[e]
Nowhere dense set [r]: A set in a topological space whose closure has empty interior. ^[e]