noun

• 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.
• (chiefly obsolete) The quality of being a neighbor, of living nearby, next to each-other; proximity.
• (dated) Close proximity; nearness.
• (obsolete) The disposition becoming a neighbor; neighborly kindness or good will.
• (topology) Within a topological space:
• A set containing an open set which contains some specified point.
• Alternatively: An open set which contains some specified point.
• (topology) Within a metric space:
• A set containing an open ball which contains a specified point.
• Alternatively: An open ball which contains some specified point.
• (topology) The infinitesimal open set of all points that may be reached directly from a given point.
• (graph theory) The set of all the vertices adjacent to a given vertex.
• (cellular automata) The set of all cells near a given cell used to determine that cell's state in the next generation.