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What does neighborhood mean?

Looking for the meaning or definition of the word neighborhood? Here's what it means.

Noun
  1. (chiefly obsolete) The quality of being a neighbor, of living nearby, next to each-other; proximity.
  2. Close proximity, nearby area; particularly, close proximity to one's home.
  3. The inhabitants of a residential area.
  4. A formal or informal division of a municipality or region.
  5. An approximate amount.
  6. The quality of physical proximity.
  7. (obsolete) The disposition becoming a neighbor; neighborly kindness or good will.
  8. (topology) Within a topological space:
    1. A set containing an open set which contains some specified point.
    2. Alternatively: An open set which contains some specified point.
  9. (topology) Within a metric space:
    1. A set containing an open ball which contains a specified point.
    2. Alternatively: An open ball which contains some specified point.
  10. (topology) The infinitesimal open set of all points that may be reached directly from a given point.
  11. (graph theory) The set of all the vertices adjacent to a given vertex.
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