Singular homology

Singular homology is a mathematical tool used to study the shape and structure of spaces. It analyzes how different pieces, called "simplices" (like points, lines, triangles, etc.), fit together within a space. By examining these arrangements, singular homology identifies features such as holes, voids, and connected components, providing an algebraic way to classify and compare complex shapes. This helps mathematicians understand the fundamental properties of spaces, regardless of how they are stretched or deformed, as long as they aren't torn or glued.