The homology group of a topological space is a fundamental concept in algebraic topology.
The homology class of a cycle in a topological space determines its topological properties.
Homology theory provides a powerful tool for studying the properties of topological spaces.
The homology sequence of a space is a sequence of abelian groups that encodes its topological features.
A homology morphism is a map between homology groups that preserves the algebraic structure.