Metric SpaceYou are currentlybrowsing as guest. Click here to log in 

A Metric Space is a set with a concept of distance. That concept is embodied in a function which is called a metric. More formally, given a set, a metric on that set is a function d(x,y) that takes two elements and returns a real number. The metric has to satisfy the following conditions:
From Metric Spaces we can get the concept of Open Sets, which in turn leads to the idea of a topological space, which manages to keep the concept of closeness, without requiring the concept of distance.
Last change to this page Full Page history Links to this page 
Edit this page (with sufficient authority) Change password 
Recent changes All pages Search 