When studying differentiable manifolds, mathematicians often compare tangent spaces at different points to understand local geometry.

Research in functional analysis often explores the geometry of Hilbert spaces and their operators.

During the examination, the doctor listened for abnormal sounds over the intercostal spaces.

Many urban residents crave open spaces where they can relax and breathe fresh air.

H-spaces often arise in algebraic topology as examples of spaces with a multiplication defined up to homotopy.

Research on mathematical spaces has revealed surprising connections between topology and algebra.

Many classical results in topology that hold for compact spaces also hold for Lindelöf spaces under mild separation axioms.

In many topology courses, quotient spaces provide a way to construct new spaces by identifying points.

When coding, remember to use normal spaces instead of tabs for consistent alignment.

Architects design parks and gardens with wide flat spaces to encourage outdoor activities.