In mathematics, particularly within the field of topology, a **topological property** is a property that is preserved under homeomorphisms. A homeomorphism is a continuous function between topological spaces that has a continuous inverse. Because of this, topological properties are often called "topological invariants." Some common examples of topological properties include: 1. **Connectedness**: A space is connected if it cannot be divided into two disjoint non-empty open sets.
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