<nitpick>All Unicode characters map, one-to-one, to their code points. A code point being a numeric identifier. It's a grapheme that combines multiple characters to form a unit of writing.</nitpick>
More specifically, here's what the Unicode Consortium glossary defines for "Character":
> Character. (1) The smallest component of written language that has semantic value; refers to the abstract meaning and/or shape, rather than a specific shape (see also glyph), though in code tables some form of visual representation is essential for the reader’s understanding. (2) Synonym for abstract character. (3) The basic unit of encoding for the Unicode character encoding. (4) The English name for the ideographic written elements of Chinese origin. [See ideograph (2).]