# Closed manifold

## From Wikipedia, the free encyclopedia

In mathematics, a **closed manifold** is a manifold without boundary that is compact.

In comparison, an **open manifold** is a manifold without boundary that has only *non-compact* components.

In mathematics, a **closed manifold** is a manifold without boundary that is compact.

In comparison, an **open manifold** is a manifold without boundary that has only *non-compact* components.