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general/theory-of-continuous-functions

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Banach–Stone theorem
general/theory-of-continuous-functions
Banach–Mazur theorem
general/theory-of-continuous-functions
Peano curve

Space-filling curve

general/theory-of-continuous-functions
Local diffeomorphism
general/theory-of-continuous-functions
Perfect map

Continuous closed surjective map, each of whose fibers are also compact sets

general/theory-of-continuous-functions
Absolute continuity

Form of continuity for functions

general/theory-of-continuous-functions
Space-filling curve

Curve whose range contains the unit square

general/theory-of-continuous-functions
Homeomorphism

Mapping which preserves all topological properties of a given space

general/theory-of-continuous-functions
Weierstrass function

Function that is continuous everywhere but differentiable nowhere

general/theory-of-continuous-functions
Proper map

Mathematical map between topological spaces

general/theory-of-continuous-functions
Continuous wavelet transform

Integral transform

general/theory-of-continuous-functions