A set X equipped with a topology τ — a family of subsets closed under arbitrary union and finite intersection, including ∅ and X. Generalises continuity and convergence beyond metric spaces.
Topological space
Related concepts
- Non-Euclidean geometries
- Differential geometry (manifold)
- Open set
- Fundamental group π₁(X, x₀)
- Separation axioms (T0–T4)
- CW complex
- Simplicial complex
- Sheaf
- Borel set
- Euler's polyhedron formula
- Helly's theorem
- Domain of holomorphy
- Weak topologies + Banach-Alaoglu
- Homotopy equivalence + CW complexes
- o-minimality (Pillay-Steinhorn)
- Cold dark matter (CDM)
- STM & AFM imaging
- MOF (Yaghi 1995)