In
algebraic topology, a branch of
mathematics,
singular homology refers to the study of a certain set of
algebraic invariants of a
topological space X, the so-called
homology groups ![](http://info.babylon.com/onlinebox.cgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=3685)
. Intuitively spoken, singular homology counts, for each dimension
n, the
n-dimensional holes of a space. Singular homology is a particular example of a
homology theory, which has now grown to be a rather broad collection of theories. Of the various theories, it is perhaps one of the simpler ones to understand, being built on fairly concrete constructions.