Question

What are Metric spaces?Give two examples

Answer 1

Explanation:

Examples of compact metric spaces include the closed interval [0,1] with the absolute value metric, all metric spaces with finitely many points, and the Cantor set. Every closed subset of a compact space is itself compact. A metric space is compact if and only if it is complete and totally bounded.

Answer 2

Answer:

hey mate your answer is here..........

A metric space is a set X together with a function d (called a metric or "distance function") which assigns a real number d(x, y) to every pair x, y belongs X satisfying the properties (or axioms):

1) d(x, y) gte 0 and d(x, y) = 0 iff x = y,

2) d(x, y) = d(y, x),

3) d(x, y) + d(y, z) gte d(x, z).

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