Grupo de homotopía

The homotopy group is a concept in algebraic topology, a branch of mathematics that studies shapes and spaces. Specifically, it describes the different ways one can continuously transform loops (closed paths) in a space without tearing or gluing. The first homotopy group, known as the fundamental group, captures information about the loops based on their ability to be deformed into each other. This helps in understanding the space's structure and connectivity. Overall, homotopy groups provide a way to classify and differentiate spaces based on their topological features.