answersLogoWhite

0

What is a D-p neighborhood in topology?

User Avatar

Mrkbh

Lvl 1
14y ago
Updated: 8/18/2019

A D-p neighborhood is the set of all the points within a given metric space that are a distance p away from a chosen point within the metric space. This is described mathematically below:

Let B, D be a metric space, p be any positive number, and b, c Є B. Then the D-pneighborhood of b is all the points c where D(b, c) < p.

In set theory notation, the above can be written as {c Є B | D(b, c) < p}.

A D-p neighborhood of b is often notated as N(b, p).

See related links for further information

User Avatar

Wiki User

14y ago

What else can I help you with?