At the Earth’s north pole, looking overhead all stars appear to
circle around the north celestial pole.
At the equator:
Stars on the celestial equator rise in the east, move overhead, then set
in the west
The N and S celestial poles are just on your N and S horizons, and
stars near those points still circle around them.
But those stars are
only visible for the upper half of their circles.
From Voyages through the Universe, by Fraknoi et al.