A partially ordered set with the following additional axiomatic properties: any finite subset of it has a meet, any arbitrary subset of it has a join, and distributivity, which states that a binary meet distributes with respect to an arbitrary join. (Note: locales are just like frames except that the category of locales is opposite to the category of frames.)
The set of settings related to the language and region in which a computer program executes. Examples are language, currency and time formats, character encoding etc.
The place where something happens.
A set containing an open set which contains some specified point.
The set of all the vertices adjacent to a given vertex.
The residential area near one's home.
The inhabitants of a residential area.
A formal or informal division of a municipality or region.
A set containing an open ball which contains a specified point.
The infinitesimal open set of all points that may be reached directly from a given point.
An approximate amount.
The quality of physical proximity.
Alternatively: An open ball which contains some specified point.
Alternatively: An open set which contains some specified point.