Cohomology

Cohomology is a mathematical tool used to study the shape and structure of spaces by analyzing functions, patterns, and how they relate across the space. It captures properties that remain unchanged when the space is stretched or deformed, such as holes or connectivity. Think of cohomology as a way to detect and classify these features systematically, providing a bridge between geometry, algebra, and topology. It’s fundamental in understanding complex shapes and spaces, revealing insights that are not easily seen just by visual inspection.