noun

definition

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

example

Our neighborhood was our only reason to exchange hollow greetings.

definition

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

example

He lives in my neighborhood.

definition

The inhabitants of a residential area.

example

The fire alarmed the neighborhood.

definition

A formal or informal division of a municipality or region.

example

We have just moved to a pleasant neighborhood.

definition

An approximate amount.

example

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

definition

The quality of physical proximity.

example

The slums and the palace were in awful neighborhood.

definition

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

definition

Within a topological space:

definition

Within a metric space:

definition

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

definition

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

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