The sign of the Yamabe invariant of holds important topological information.

Various geometric and topological information is revealed in an alternating diagram.

This data structure provides efficient manipulation of the topological information associated with the objects in question (vertices, edges, faces).

In contrast, sheaves of smooth functions tend not to carry much topological information.

After Gyala, the river was expected to be even steeper, based on topological information of the paddlers.

The fundamental groups of 3-manifolds strongly reflect the geometric and topological information belonging to a 3-manifold.

This format lacks the capacity to store topological information.

Shapefiles do not have the ability to store topological information.

No further topological information is ever exchanged.

No further topological information is present in the messages.