U+2210 "∐" N-Ary Coproduct Unicode Character

Unicode Version 17.0

U+2210 "∐" N-Ary Coproduct is a mathematical symbol that represents a generalized or iterated coproduct, primarily used in category theory, algebra, and topology to denote the disjoint union or direct sum of multiple objects. It serves as the categorical dual of the product symbol "∏" and is often employed when combining structures such as sets, groups, or modules in a way that preserves their distinct identities. Unlike binary coproducts, which combine two objects, the n-ary version allows for the simultaneous combination of an arbitrary number of components, making it essential for describing operations like infinite disjoint unions or direct sums indexed by a set. In practical notation, it is typically used with an index indicating the range of the operation, such as ∐ i∈I X i .

General Properties

Code Point U+2210
Version Added 1.1
Name N-Ary Coproduct
Block Mathematical Operators
General Category Math Symbol
Canonical Combining Class Not Reordered
Bidirectional Class Other Neutral

Encodings

HTML Decimal Encoding ∐
HTML Hex Encoding ∐
UTF-8 Encoding 0xE2 0x88 0x90
UTF-16 Encoding 0x2210
UTF-32 Encoding 0x00002210
C/C++/Java Escape \u2210

Unicode Properties

NFC Quick Check Yes
NFD Quick Check Yes
NFKC Quick Check Yes
NFKD Quick Check Yes
Numeric Type None
Numeric Value NaN
Line Break Alphabetic
Script Common
Script Extensions Common
Indic Syllabic Category Other
Pattern Syntax Yes
Math Yes
Vertical Orientation Rotated
Grapheme Base Yes
Grapheme Cluster Break Other
Word Break Other
Sentence Break Other