When is a finite subset of a metric space connected?

Mar 24th 2013, 04:19 AM

Plato

Re: connected set

Quote:

Originally Posted by swarna

When is a finite subset of a metric space connected?

Is it possible to express a finite set with more than one point as the union of two non-empty set neither containing a point nor a limit point of the other?

If you understand the definition of connected, then that answers the question.