For example, it allows distinguishing a sphere from a torus based on topological criteria. Geometric topology has applications in many scientific fields, from theoretical physics to molecular biology.

Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions. Whether trying to design secure sensor networks, mine data or use origami to deploy ...

In differential topology one assumes that the surface can be pushed through itself, but then the problem is to avoid forming a crease" "Normally a sphere can be turned inside out only if it has ...

This sphere, with its irregularities ... Mathematicians, through geometric topology, explore these spaces in all their dimensions. Topology is not limited to the study of two-dimensional spaces.

The surface of the sphere and the plane are two possible 2D ... Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions.

The surface of the sphere and the plane are two possible 2D ... While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible ...