Zariski Topology

Zariski topology is a concept from algebraic geometry that focuses on understanding the geometric properties of solutions to polynomial equations. In this topology, the "closed sets" are defined as the sets of points that satisfy specific algebraic equations. Instead of using distances like in regular geometry, it relies on the idea of common solutions. This approach allows mathematicians to study shapes and structures in a more abstract way, connecting algebra and geometry through the relationship of polynomials and their roots. The Zariski topology helps reveal deeper insights into the nature of geometric figures derived from algebraic equations.