In algebraic topology, a closed curve in a space often represents an element of the fundamental group when considered up to homotopy.

In first-order logic, proving that a closed formula is valid requires showing that it is true under every interpretation.

After the mine shut down, the once-bustling closed town fell silent except for the wind.

The researchers were denied access to the closed city, where entry and residency are tightly controlled.

During the close time, all commercial fishing for trout is strictly prohibited to allow populations to recover.

When the company loses funding, it closes down its regional offices without notice.

The neighborhood bakery closed down last month after failing to attract enough customers.

After years of litigation, the committee decided to close the book on the old property dispute and move forward with redevelopment.

With the judge's ruling delivered today, the court closes the book on a decade of disputes.

After months of negotiations, she closed the book on the partnership and moved forward with a new plan.