Cellular decomposition

Cellular decomposition is a method used in topology that breaks down a complex space into simpler, well-structured pieces called cells (points, lines, disks, etc.). Think of it as dividing a complex shape into basic building blocks, organized so that these blocks fit together neatly without overlapping in complicated ways. This process helps mathematicians analyze and understand the shape’s structure by studying its simpler components, making it easier to identify properties like connectivity and shape. Essentially, cellular decomposition simplifies complex spaces into manageable parts while preserving their essential features.