What is the meaning of Neighborhood?

The residential area near one's home.

The inhabitants of a residential area.

A formal or informal division of a municipality or region.

An approximate amount.

The quality of physical proximity.

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

Close proximity; nearness.

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

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.

A set containing an open set which contains some specified point.

Alternatively: An open set which contains some specified point.

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.

A set containing an open ball which contains a specified point.

Alternatively: An open ball which contains some specified point.

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

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

  1. The set of all cells near a given cell used to determine that cell's state in the next generation.

The set of all cells near a given cell used to determine that cell's state in the next generation.

Source: wiktionary.org