topologists

Topologists are mathematicians who study the properties of shapes and spaces that stay unchanged even when the objects are stretched, bent, or deformed without tearing or gluing. Think of a coffee mug and a donut: topologically, they are equivalent because each has one hole, and one can be smoothly transformed into the other without breaking. Topology explores these ideas, focusing on the fundamental structure of spaces and how they can be continuously deformed, providing insights into geometry, physics, and even data analysis.