Banach spaces with separable duals often appear in the study of functional analysis.

When solving probability problems, carefully list all relevant sample spaces to avoid mistakes.

Many important theorems that hold in compact spaces fail without the compactness assumption.

The architect studied how connected spaces influence social interaction in a co-living building.

Photographers often seek out dark spaces to capture the subtle glow of bioluminescent organisms.

In advanced topology classes, metric spaces often serve as fundamental examples for illustrating concepts like convergence and continuity.

When typesetting East Asian text, designers often need to account for ideographic spaces to ensure proper alignment.

Community centers have started offering sober spaces where families can gather without pressure to drink.

During practice, the coach marked several kick spaces on the field so players would know where to aim.

Researchers examined the boundary behavior of functions in Bloch spaces to better understand complex dynamics.