Stable Homotopy Theory is a branch of algebraic topology that studies the properties of topological spaces through the lens of stable phenomena. It focuses on the behavior of spaces when they are "stabilized" by taking suspensions, which essentially means adding dimensions to the spaces. This approach allows mathematicians to analyze spaces in a way that simplifies their structure and reveals deeper relationships. In Stable Homotopy Theory, one often uses tools like spectra, which are sequences of spaces that encode homotopical information. The theory is closely related to homotopy groups and stable homotopy groups, which help classify spaces up to stable equivalence. This area of study has significant implications in various fields, including algebraic geometry and theoretical physics.