\hookrightarrow

The symbol \hookrightarrow is used to denote an injective (one-to-one) function or mapping in mathematics. It is often used in the context of category theory, algebra, and topology to indicate that one set or space is being embedded into another.

Examples

Indicates that set A is injectively mapped into set B.

A \hookrightarrow B

Denotes that vector space V is embedded into vector space W.

V \hookrightarrow W

Shows that topological space X is embedded into topological space Y.

X \hookrightarrow Y