Example image of eyePlorer eyePlorer map for 'Simply connected space': Connected space Topological space Topology Fundamental group Aquarium Contractible space Identity element Complex analysis Riemann sphere Euclidean space Convex set Sphere Cylinder (geometry) Klein bottle Möbius strip Torus Banach space Hilbert space Topological vector space Orthogonal group Special unitary group Long line (topology) Genus (mathematics) Manifold Covering space Homotopy Antiderivative Complex number Holomorphic function Line integral Conformal map Riemann mapping theorem Unit disk Closed and exact differential forms Antoine's necklace Bendixson-Dulac theorem Donaldson's theorem E8 manifold Friedmann–Lemaître–Robertson–Walker metric Hadamard manifold Hyperbolic space Locally simply connected space Orientation entanglement Pseudosphere Velocity potential 5-manifold Bryant surface Carathéodory's theorem (conformal mapping) De Sitter space Exact differential equation