 Compactly supported homology

Compactly supported homology is a version of homology theory that focuses on the study of spaces where the singular chains are required to have compact support. This concept is particularly useful in various areas of mathematics, including algebraic topology and differential geometry. ### Key Concepts: 1. **Homology**: Homology is a tool used in algebraic topology to study topological spaces by associating sequences of abelian groups (or modules) to them.