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Convergence & continuity,[edit]

Sequences, filters and nets[edit]

Continuity
Continuous function
Uniform continuity
Absolute continuity
Equicontinuity
Dini continuity
Symmetrically continuous function
Polynomial
Normal function
Classification of discontinuities
Sequences
Sequence
Cauchy sequence
Sequence space
Limit of a sequence
Polynomial sequence
Limits and limit points
Limit point
Limit point compact
Nets & filters
Net (mathematics)
Filtration (mathematics)
Filter (mathematics)
Ultrafilter
Fréchet filter
Natural filtration
Fix points
Fixed point (mathematics)
Fixed-point property
Least fixed point
Fixed-point theorem
Fixed-point theorems in infinite-dimensional spaces
Brouwer fixed-point theorem
Banach fixed-point theorem
Lefschetz fixed-point theorem
Topological concepts
Characterizations of the category of topological spaces
Cofiniteness
Cofinal (mathematics)
Cofinality
Approximation
Approximation theory
Taylor's theorem
Diophantine approximation
Functions and functionals
Function (mathematics)
Generalized function
Implicit function
History of the function concept
Functional (mathematics)
Functional decomposition
Miscellanea
Complete lattice
Directed set
Lattice
Total order
Preorder
Neighbourhood system