\uparrow

The upward arrow symbol, represented by \uparrow in LaTeX, is used in various mathematical contexts to denote an increase, a direction, or a specific type of limit. It is commonly used in set theory, order theory, and to indicate the direction of vectors or functions.

Examples

Indicates that x is increasing towards y in a sequence or function.

x \uparrow y

Represents the supremum of sets A and B in lattice theory.

A \uparrow B

Denotes that the function f(n) increases without bound as n approaches infinity.

f(n) \uparrow \infty