Stable homotopy is a branch of algebraic topology that studies homotopy classes of maps between topological spaces, particularly in the stable range where spaces are 'stabilized' by taking suspensions. This concept arises naturally when considering spaces up to stable equivalence, allowing for more flexible relationships between their structures. It connects to various theories, including characteristic classes and K-theory, enabling deeper insights into the topology of vector bundles and manifolds.
congrats on reading the definition of Stable Homotopy. now let's actually learn it.