Graduate students explored the geometry of projective spaces during the seminar on algebraic topology.

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

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

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

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

Many algebraic topologists teach using Eilenberg-MacLane spaces as a foundational example in their courses.

During the live broadcast, the host quickly filled several dead-air spaces with music to keep listeners engaged.

Researchers compared different machine learning algorithms across several n-dimensional spaces to evaluate robustness.

The architect designed the loft with several open half spaces to create a sense of flow between rooms.

In the manuscript, insert non-breaking spaces between numerals and their units to prevent awkward line breaks.