U+21A3 Rightwards Arrow with Tail
U+21A3 was added in Unicode version 1.1 in 1993. It belongs to the block
This character is a Math Symbol and is commonly used, that is, in no specific script. The character is also known as z notation total injection.
The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is not mirrored. The word that U+21A3 forms with similar adjacent characters prevents a line break inside it.
The CLDR project calls this character “rightwards arrow tail” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: arrow, rightwards, tail.
The Wikipedia has the following information about this codepoint:
In mathematics, an injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to distinct elements; that is, x1 ≠ x2 implies f(x1) ≠ f(x2). (Equivalently, f(x1) = f(x2) implies x1 = x2 in the equivalent contrapositive statement.) In other words, every element of the function's codomain is the image of at most one element of its domain. The term one-to-one function must not be confused with one-to-one correspondence that refers to bijective functions, which are functions such that each element in the codomain is an image of exactly one element in the domain.
A homomorphism between algebraic structures is a function that is compatible with the operations of the structures. For all common algebraic structures, and, in particular for vector spaces, an injective homomorphism is also called a monomorphism. However, in the more general context of category theory, the definition of a monomorphism differs from that of an injective homomorphism. This is thus a theorem that they are equivalent for algebraic structures; see Homomorphism § Monomorphism for more details.
A function that is not injective is sometimes called many-to-one.
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Elsewhere
Complete Record
Property | Value |
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1.1 (1993) | |
RIGHTWARDS ARROW WITH TAIL | |
RIGHT ARROW WITH TAIL | |
Arrows | |
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R |