neighborhood

noun

1. 1

   The quality of being a neighbor, of living nearby, next to each-other; proximity.

   “Our neighborhood was our only reason to exchange hollow greetings.”

2. 2

   Close proximity, nearby area; particularly, close proximity to one's home.

   “He lives in my neighborhood.”

3. 3

   The inhabitants of a residential area.

   “The fire alarmed the neighborhood.”

4. 4

   A formal or informal division of a municipality or region.

   “We have just moved to a pleasant neighborhood.”

5. 5

   An approximate amount.

   “He must be making in the neighborhood of $200,000 per year.”

6. 6

   The quality of physical proximity.

   “The slums and the palace were in awful neighborhood.”

7. 7

   The disposition becoming a neighbor; neighborly kindness or good will.

8. 8

   Within a topological space:

9. 9

   Within a metric space:

10. 10

    The infinitesimal open set of all points that may be reached directly from a given point.

11. 11

    The set of all the vertices adjacent to a given vertex.