🔍

Loading symbols…

››

⋂

n-ary intersection

N-ary Intersection

⋂ keeps only elements shared by every set in a collection. The big cap writes repeated intersection compactly for an indexed family.

Text symbol

Also called: big cap · big intersection
Search it as: set intersection · bigcap · xcap
Shows up in: Anything that takes text · its shape is whatever your font draws

What ⋂ means

It keeps only elements shared by every set.

This set intersection is indexed: in ⋂ᵢ Aᵢ, an element belongs in the result only if it belongs to every Aᵢ; i marks the sets.

Grassmann used ∩ and ∪ as general operation signs in 1844. Peano used ∩ for intersection and ∪ for union in 1888, then introduced their enlarged forms in 1908 in the fifth volume of Formulario mathematico, a multi-volume formula collection, so one operation could cover more than two classes (collections treated like sets).

Don't confuse it with

∩

Intersection

⋂ vs ∩: ∩ combines two sets; ⋂ extends that same common-elements rule to an indexed family.

Combination ideas

An element remains only if it belongs to every indexed set.

Questions people ask

Why does ⋂ show as a box on some devices?

Because that device's fonts have no glyph for it. The character is still correct and still copies correctly — the box is a missing glyph, not a broken character.

How to type ⋂

Windows (Word)

Alt+XType 22C2, then Alt+X to get ⋂.

Windows

Win+Rrun charmap for the full table, or use the emoji picker's Ω symbols tab (Win + .).

macOS

Control+Command+SpaceOpen the character viewer and search “n-ary intersection”.

Linux

Ctrl+Shift+UType 22c2, then Enter or Space.

HTML

⋂

CSS

\22C2

LaTeX

In math mode, write `\bigcap`.

Codes and encoding1 code points

HTML decimal

⋂

HTML hex

⋂

CSS content

content: "\22C2";

Each escape is closed by the next backslash; a trailing space is needed before a literal hex digit.

URL encoded

%E2%8B%82

On screen

Code points

JS .length

UTF-8 bytes

A visible symbol can contain several code points. JS .length counts UTF-16 units; UTF-8 counts bytes.

Families this belongs to

Maths & numbers1,835 symbols

1️⃣📏📐✖️➕➖➗🟰♾️#️⃣*️⃣0️⃣