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xmapsto

Represents a long rightward mapping arrow with text above it, commonly used in mathematical functions and transformations.

Overview

Provides an extended version of the mapsto arrow that automatically adjusts its length based on the text placed above it, making it particularly useful in mathematical notation.

  • Essential for showing function mappings with explicit transformation rules
  • Popular in abstract algebra and category theory for depicting morphisms
  • Frequently used when describing step-by-step transformations or detailed mathematical processes
  • Enhances readability when displaying longer expressions above the arrow

Examples

Showing a mapping with a labeled arrow in category theory.

X↦ϕYX \xmapsto{\phi} Y 
X \xmapsto{\phi} Y

Indicating a limit process with a labeled arrow.

xn↦n→∞Lx_n \xmapsto{n \to \infty} L 
x_n \xmapsto{n \to \infty} L

Demonstrating a transformation with specific conditions.

f(x)↦x>0g(x)f(x) \xmapsto{x > 0} g(x) 
f(x) \xmapsto{x > 0} g(x)