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⫏

closed subset

Closed Subset

⫏ marks a closed-subset relation; the author's definition sets its exact condition. Check that convention before reading it as an ordinary subset.

Text symbol

Also called: csub
Search it as: subset symbol · subset relation · subset notation
Shows up in: Anything that takes text · its shape is whatever your font draws

What ⫏ means

It marks a closed subset from the left set to the right. Every member of the first set belongs to the second. Topology studies spaces and continuity; there, “closed” means including the set’s limit points, the points its members can approach. Follow the paper’s definition.

A 1998 MathML draft, a web format for mathematical notation, listed the entity csub (“closed subset”) at private-use code E351, a reserved code systems could define themselves. This is an early digital record, not proof of first use.

Formal mathematical notation; the author defines the exact relation.

Don't read it as ordinary ⊂ if the paper distinguishes closedness.

Don't confuse it with

3

Ordinary subset; no closed condition is built into this sign.

Closed Superset

Closed superset; the relation runs in the reverse direction.

Closed Subset Or Equal To

Closed subset or equal to; equality is explicitly allowed.

Questions people ask

1

Why does ⫏ look different in different fonts?

The font draws this text character; different mathematical typefaces can give it different shapes.

How to type ⫏

Windows (Word)

Alt+XType 2ACF, 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 “closed subset”.

Linux

Ctrl+Shift+UType 2acf, then Enter or Space.

HTML

⫏

CSS

\2ACF

LaTeX

Load unicode-math and use `\csub` in math mode.

Windows Word

In a Word document, type 2ACF and press Alt+X.

Codes and encoding1 code points

HTML decimal

⫏

HTML hex

⫏

CSS content

content: "\2ACF";

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

URL encoded

%E2%AB%8F

1

On screen

1

Code points

1

JS .length

3

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

1

Maths & numbers1,835 symbols

1️⃣📏📐✖️➕➖➗🟰♾️#️⃣*️⃣0️⃣