nLab
closed manifold

Contents

Contents

Definition

A manifold is called closed if it is

  1. compact;

  2. without boundary.

In contrast, a manifold without boundary all whose connected components are non-compact is called an open manifold.

Literature

See also

Last revised on November 6, 2021 at 02:09:55. See the history of this page for a list of all contributions to it.