Speakur

Word Pronunciation & Dictionary

open set

Word Rarity Common

Frequency: Zipf frequency 5.23 in modern English

Syllables
open set
IPA
9
Scrabble Score
7
Letters
1
Syllables
6
Unique Chars

Meaning

noun

Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.

noun

A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.

noun

Most generally, a member of the topology of a given topological space.

Inflected Forms

open sets (plural)

Phrases

distinguished open set closed set

Frequently Paired Words

closed set

Questions

What does open set mean?
Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.

How to pronounce open set

  1. Open the pronunciation page — Open the Speakur entry for “open set”.
  2. Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
  3. Play the audio — Click Play to hear reference audio for “open set”.
  4. Repeat and practice — Say “open set” aloud, matching stress and vowels until it feels natural.