empty set

Summary

empty set is a set^[1]. It has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.^[2]

Key Facts

• empty set's instance of is recorded as set^[3].
• empty set's instance of is recorded as open set^[4].
• empty set's instance of is recorded as closed set^[5].
• empty set's instance of is recorded as null set^[6].
• empty set's instance of is recorded as 0-ad^[7].
• empty set's instance of is recorded as finite set^[8].
• empty set is part of list of types of sets^[9].
• empty set's Commons category is recorded as Nested set V4^[10].
• empty set's said to be the same as is recorded as 0-ad^[11].
• empty set is the opposite of non-empty set^[12].
• empty set's notation is recorded as Q87524418^[13].
• empty set's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[14].
• empty set's different from is recorded as Ø^[15].
• empty set's different from is recorded as singleton of 0^[16].
• empty set's different from is recorded as null set^[17].
• empty set's TeX string is recorded as \empty^[18].
• empty set's TeX string is recorded as \emptyset^[19].
• empty set's TeX string is recorded as \varnothing^[20].
• empty set's set cardinality is recorded as zero^[21].
• empty set's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4^[22].
• empty set's maintained by WikiProject is recorded as WikiProject Mathematics^[23].

Body

Definition and Type

Recorded instance of include set^[3], open set^[4], closed set^[5], null set^[6], 0-ad^[7], and finite set^[8]. empty set is the opposite of non-It^[12].

Use and Application

empty set is part of list of types of sets^[9].

Why It Matters

empty set has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.^[2] It is known by 19 alternative names across languages and contexts.^[24]