Originally Posted by

**Rozaline** I am confused about how to approach the following problem:

Assume$\displaystyle S \subset R^n $ is a compact set, and $\displaystyle V \subset R^m$ is compact.

Prove that $\displaystyle S \times V$ is compact in $\displaystyle R^{n+m}.$

First of all, what does it mean by S * V? I do not understand this notation. I have seen this notation used for defining regions like [a, b] $\displaystyle \times $ [c, d] defines region for integration or something. But not in the context of sets. How would I attempt this problem?