Compact stars often emit X-rays when they accrete material from a companion.

The philosophers debated whether the social compact could withstand the pressures of rising inequality.

Several eastern states considered forming interstate compacts to manage shared water resources.

The topologist showed that the space was quasi-compact by demonstrating that every open cover admitted a finite subcover.

The professor emphasized that sequential compactness is crucial for proving convergence results in metric spaces.

The city council approved a plan to encourage development of a compact neighborhood around the transit station to make daily destinations accessible by foot.

The city council approved a plan to add parks and local shops to the compact neighbourhood to make daily errands walkable for residents.

A locally compact Hausdorff space admits a Radon measure with full support under mild conditions.

A σ-compact space often allows one to reduce global problems to a countable sequence of compact cases, which makes many proofs in analysis more manageable.

I took a compact camera to the park to capture quick family snapshots without worrying about changing lenses or using a light meter.