Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

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

Etymologies

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