What kind of air sinks and warms in a cyclone?

In a cyclone, warm, moist air rises, creating low pressure at the surface. As this air rises, it cools and condenses, leading to cloud formation and precipitation. The cooler, denser air surrounding the cyclone then sinks toward the center, warming as it descends due to compression. This sinking air can lead to clearer skies and calmer conditions in the cyclone's center, known as the eye.