Topological Invariant

Definition

A topological property or topological invariant is a property of a Topological Space that is invariant under Homeomorphism.

Examples

• Separability
• First countability
• Second countability
• Metrizability
• Hausdorff Space
• Fixed-Point Property
• Local Connectedness
• Local Path Connectedness
• Compactness
• Countable Compactness
• Bolzano–Weierstrass Property