xtwoheadrightarrow
Represents a double-headed right arrow with text above it, commonly used to denote surjective mappings or transformations in mathematics.
Overview
Essential in advanced mathematics and category theory for indicating special types of morphisms or mappings between sets or spaces.
- Frequently used in algebra and topology to denote surjective (onto) functions
- Particularly useful in commutative diagrams and mathematical proofs
- Often appears in textbooks and research papers when describing mathematical transformations
- Can include optional text above the arrow to specify conditions or additional information about the mapping
Examples
Showing a surjective group homomorphism with a label.
G \xtwoheadrightarrow{\phi} HIndicating a canonical projection map with kernel description.
V \xtwoheadrightarrow{\text{mod }N} V/NRepresenting a quotient map between topological spaces.
X \xtwoheadrightarrow{q} X/\sim