Definition of Open set

1. Noun. (topology) 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. ¹

2. Noun. (topology analysis restricted to metric spaces) 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. ¹

3. Noun. (topology) Most generally, a member of the topology of a given topological space. ¹

¹ Source:

Open Set Pictures

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Lexicographical Neighbors of Open Set

open razors
open reading frame
open reading frames
open rectangle
open reduction of fractures
open relationships
open sandwich
open sea
open season
open seating
open secret
open secrets
open sesame
open sesames
open set (current term)
open sets
open shop
open sight
open skull fracture
open society
open someone's eyes
open source
open sourced
open sources
open sourcing
open sunshine
open system
open the attack
open the face

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