Singular homology
In algebraic topology, singular homology refers to the study of a certain set of algebraic invariants of a topological space X {\displaystyle X} , the so-called homology groups H n ( X ) . {\displaystyle H_{n}(X).} Intuitively, singular homology counts, for each dimension n {\displaystyle n} , the n {\displaystyle n} -dimensional holes of a space.