Baum–Kan Homology

Baum–Kan homology is a concept in mathematics, specifically in algebraic topology, that deals with analyzing "spaces" by breaking them into simple, overlapping parts called "coverings." It helps to understand complex shapes and structures by examining the relationships between these parts and how they fit together. The theory uses algebraic tools to identify and compare properties of spaces, even if they are intricate or abstract, offering a way to classify and study their fundamental features in a systematic manner.